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Finding the Fourth Proportional to 39,214.71, 58,821.14 and 9,632.50

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Solution

The fourth proportional to 39,214.71, 58,821.14 and 9,632.50 is: 14,448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,214.71 : 58,821.14 = 9,632.50 : x
  2. Step 2: Convert to fraction form
    39,214.71/58,821.14 = 9,632.50/x
  3. Step 3: Cross multiply
    39,214.71x = 58,821.14 × 9,632.50
  4. Step 4: Simplify right side
    39,214.71x = 566,594,508.08
  5. Step 5: Solve for x
    x = 566,594,508.08/39,214.71
  6. Step 6: Final answer
    x = 14,448.52

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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.