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Finding the Fourth Proportional to 16,559.28, 22,852.92 and 9,107.76

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Solution

The fourth proportional to 16,559.28, 22,852.92 and 9,107.76 is: 12,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,559.28 : 22,852.92 = 9,107.76 : x
  2. Step 2: Convert to fraction form
    16,559.28/22,852.92 = 9,107.76/x
  3. Step 3: Cross multiply
    16,559.28x = 22,852.92 × 9,107.76
  4. Step 4: Simplify right side
    16,559.28x = 208,138,910.66
  5. Step 5: Solve for x
    x = 208,138,910.66/16,559.28
  6. Step 6: Final answer
    x = 12,569.32

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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.