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Finding the Fourth Proportional to 15,646.71, 23,470.14 and 3,959.94

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Solution

The fourth proportional to 15,646.71, 23,470.14 and 3,959.94 is: 5,939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.71 : 23,470.14 = 3,959.94 : x
  2. Step 2: Convert to fraction form
    15,646.71/23,470.14 = 3,959.94/x
  3. Step 3: Cross multiply
    15,646.71x = 23,470.14 × 3,959.94
  4. Step 4: Simplify right side
    15,646.71x = 92,940,346.19
  5. Step 5: Solve for x
    x = 92,940,346.19/15,646.71
  6. Step 6: Final answer
    x = 5,939.93

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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.