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Finding the Fourth Proportional to 22,349.08, 33,527.95 and 8,497

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Solution

The fourth proportional to 22,349.08, 33,527.95 and 8,497 is: 12,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,349.08 : 33,527.95 = 8,497 : x
  2. Step 2: Convert to fraction form
    22,349.08/33,527.95 = 8,497/x
  3. Step 3: Cross multiply
    22,349.08x = 33,527.95 × 8,497
  4. Step 4: Simplify right side
    22,349.08x = 284,886,948.67
  5. Step 5: Solve for x
    x = 284,886,948.67/22,349.08
  6. Step 6: Final answer
    x = 12,747.14

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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.