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Finding the Fourth Proportional to 23,288.40, 32,137.02 and 12,677.40

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Solution

The fourth proportional to 23,288.40, 32,137.02 and 12,677.40 is: 17,494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,288.40 : 32,137.02 = 12,677.40 : x
  2. Step 2: Convert to fraction form
    23,288.40/32,137.02 = 12,677.40/x
  3. Step 3: Cross multiply
    23,288.40x = 32,137.02 × 12,677.40
  4. Step 4: Simplify right side
    23,288.40x = 407,413,857.35
  5. Step 5: Solve for x
    x = 407,413,857.35/23,288.40
  6. Step 6: Final answer
    x = 17,494.28

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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.