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Finding the Fourth Proportional to 39,216.71, 58,824.14 and 9,634.50

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Solution

The fourth proportional to 39,216.71, 58,824.14 and 9,634.50 is: 14,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,216.71 : 58,824.14 = 9,634.50 : x
  2. Step 2: Convert to fraction form
    39,216.71/58,824.14 = 9,634.50/x
  3. Step 3: Cross multiply
    39,216.71x = 58,824.14 × 9,634.50
  4. Step 4: Simplify right side
    39,216.71x = 566,741,176.83
  5. Step 5: Solve for x
    x = 566,741,176.83/39,216.71
  6. Step 6: Final answer
    x = 14,451.52

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Why These Related Problems?

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