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Finding the Fourth Proportional to 15,689.47, 23,513.42 and 7,354.57

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Solution

The fourth proportional to 15,689.47, 23,513.42 and 7,354.57 is: 11,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.47 : 23,513.42 = 7,354.57 : x
  2. Step 2: Convert to fraction form
    15,689.47/23,513.42 = 7,354.57/x
  3. Step 3: Cross multiply
    15,689.47x = 23,513.42 × 7,354.57
  4. Step 4: Simplify right side
    15,689.47x = 172,931,093.33
  5. Step 5: Solve for x
    x = 172,931,093.33/15,689.47
  6. Step 6: Final answer
    x = 11,022.11

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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.