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Finding the Fourth Proportional to 23,272.40, 32,114.94 and 12,661.40

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Solution

The fourth proportional to 23,272.40, 32,114.94 and 12,661.40 is: 17,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,272.40 : 32,114.94 = 12,661.40 : x
  2. Step 2: Convert to fraction form
    23,272.40/32,114.94 = 12,661.40/x
  3. Step 3: Cross multiply
    23,272.40x = 32,114.94 × 12,661.40
  4. Step 4: Simplify right side
    23,272.40x = 406,620,101.32
  5. Step 5: Solve for x
    x = 406,620,101.32/23,272.40
  6. Step 6: Final answer
    x = 17,472.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.