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Finding the Fourth Proportional to 24,573.28, 36,862.32 and 9,778.74

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Solution

The fourth proportional to 24,573.28, 36,862.32 and 9,778.74 is: 14,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,573.28 : 36,862.32 = 9,778.74 : x
  2. Step 2: Convert to fraction form
    24,573.28/36,862.32 = 9,778.74/x
  3. Step 3: Cross multiply
    24,573.28x = 36,862.32 × 9,778.74
  4. Step 4: Simplify right side
    24,573.28x = 360,467,043.08
  5. Step 5: Solve for x
    x = 360,467,043.08/24,573.28
  6. Step 6: Final answer
    x = 14,669.07

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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.