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Finding the Fourth Proportional to 16,641.56, 22,963.56 and 9,569

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Solution

The fourth proportional to 16,641.56, 22,963.56 and 9,569 is: 13,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,641.56 : 22,963.56 = 9,569 : x
  2. Step 2: Convert to fraction form
    16,641.56/22,963.56 = 9,569/x
  3. Step 3: Cross multiply
    16,641.56x = 22,963.56 × 9,569
  4. Step 4: Simplify right side
    16,641.56x = 219,738,305.64
  5. Step 5: Solve for x
    x = 219,738,305.64/16,641.56
  6. Step 6: Final answer
    x = 13,204.19

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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.