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Finding the Fourth Proportional to 16,032.64, 22,125.12 and 8,959.36

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Solution

The fourth proportional to 16,032.64, 22,125.12 and 8,959.36 is: 12,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.64 : 22,125.12 = 8,959.36 : x
  2. Step 2: Convert to fraction form
    16,032.64/22,125.12 = 8,959.36/x
  3. Step 3: Cross multiply
    16,032.64x = 22,125.12 × 8,959.36
  4. Step 4: Simplify right side
    16,032.64x = 198,226,915.12
  5. Step 5: Solve for x
    x = 198,226,915.12/16,032.64
  6. Step 6: Final answer
    x = 12,363.96

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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.