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Finding the Fourth Proportional to 16,569, 22,865.70 and 9,117

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Solution

The fourth proportional to 16,569, 22,865.70 and 9,117 is: 12,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569 : 22,865.70 = 9,117 : x
  2. Step 2: Convert to fraction form
    16,569/22,865.70 = 9,117/x
  3. Step 3: Cross multiply
    16,569x = 22,865.70 × 9,117
  4. Step 4: Simplify right side
    16,569x = 208,466,586.90
  5. Step 5: Solve for x
    x = 208,466,586.90/16,569
  6. Step 6: Final answer
    x = 12,581.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.