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Finding the Fourth Proportional to 15,640.30, 23,402.13 and 15,465.34

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Solution

The fourth proportional to 15,640.30, 23,402.13 and 15,465.34 is: 23,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,640.30 : 23,402.13 = 15,465.34 : x
  2. Step 2: Convert to fraction form
    15,640.30/23,402.13 = 15,465.34/x
  3. Step 3: Cross multiply
    15,640.30x = 23,402.13 × 15,465.34
  4. Step 4: Simplify right side
    15,640.30x = 361,921,897.17
  5. Step 5: Solve for x
    x = 361,921,897.17/15,640.30
  6. Step 6: Final answer
    x = 23,140.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.