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Finding the Fourth Proportional to 22,892.72, 34,311.35 and 9,717.42

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Solution

The fourth proportional to 22,892.72, 34,311.35 and 9,717.42 is: 14,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.72 : 34,311.35 = 9,717.42 : x
  2. Step 2: Convert to fraction form
    22,892.72/34,311.35 = 9,717.42/x
  3. Step 3: Cross multiply
    22,892.72x = 34,311.35 × 9,717.42
  4. Step 4: Simplify right side
    22,892.72x = 333,417,750.13
  5. Step 5: Solve for x
    x = 333,417,750.13/22,892.72
  6. Step 6: Final answer
    x = 14,564.36

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1.5x scale

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.