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Finding the Fourth Proportional to 16,504.76, 22,778.22 and 9,432.24

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Solution

The fourth proportional to 16,504.76, 22,778.22 and 9,432.24 is: 13,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,504.76 : 22,778.22 = 9,432.24 : x
  2. Step 2: Convert to fraction form
    16,504.76/22,778.22 = 9,432.24/x
  3. Step 3: Cross multiply
    16,504.76x = 22,778.22 × 9,432.24
  4. Step 4: Simplify right side
    16,504.76x = 214,849,637.81
  5. Step 5: Solve for x
    x = 214,849,637.81/16,504.76
  6. Step 6: Final answer
    x = 13,017.43

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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.