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Finding the Fourth Proportional to 15,710.69, 23,562.39 and 4,614.40

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Solution

The fourth proportional to 15,710.69, 23,562.39 and 4,614.40 is: 6,920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.69 : 23,562.39 = 4,614.40 : x
  2. Step 2: Convert to fraction form
    15,710.69/23,562.39 = 4,614.40/x
  3. Step 3: Cross multiply
    15,710.69x = 23,562.39 × 4,614.40
  4. Step 4: Simplify right side
    15,710.69x = 108,726,339.17
  5. Step 5: Solve for x
    x = 108,726,339.17/15,710.69
  6. Step 6: Final answer
    x = 6,920.53

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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.