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Finding the Fourth Proportional to 14,578.47, 20,124.39 and 9,865.49

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Solution

The fourth proportional to 14,578.47, 20,124.39 and 9,865.49 is: 13,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.47 : 20,124.39 = 9,865.49 : x
  2. Step 2: Convert to fraction form
    14,578.47/20,124.39 = 9,865.49/x
  3. Step 3: Cross multiply
    14,578.47x = 20,124.39 × 9,865.49
  4. Step 4: Simplify right side
    14,578.47x = 198,536,867.68
  5. Step 5: Solve for x
    x = 198,536,867.68/14,578.47
  6. Step 6: Final answer
    x = 13,618.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.