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Finding the Fourth Proportional to 23,271.50, 32,114.50 and 12,661.18

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Solution

The fourth proportional to 23,271.50, 32,114.50 and 12,661.18 is: 17,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,271.50 : 32,114.50 = 12,661.18 : x
  2. Step 2: Convert to fraction form
    23,271.50/32,114.50 = 12,661.18/x
  3. Step 3: Cross multiply
    23,271.50x = 32,114.50 × 12,661.18
  4. Step 4: Simplify right side
    23,271.50x = 406,607,465.11
  5. Step 5: Solve for x
    x = 406,607,465.11/23,271.50
  6. Step 6: Final answer
    x = 17,472.34

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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.