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Finding the Fourth Proportional to 17,156, 25,728.88 and 6,624.16

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Solution

The fourth proportional to 17,156, 25,728.88 and 6,624.16 is: 9,934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,156 : 25,728.88 = 6,624.16 : x
  2. Step 2: Convert to fraction form
    17,156/25,728.88 = 6,624.16/x
  3. Step 3: Cross multiply
    17,156x = 25,728.88 × 6,624.16
  4. Step 4: Simplify right side
    17,156x = 170,432,217.74
  5. Step 5: Solve for x
    x = 170,432,217.74/17,156
  6. Step 6: Final answer
    x = 9,934.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.