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Finding the Fourth Proportional to 15,296.85, 22,916.03 and 10,342.17

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Solution

The fourth proportional to 15,296.85, 22,916.03 and 10,342.17 is: 15,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,296.85 : 22,916.03 = 10,342.17 : x
  2. Step 2: Convert to fraction form
    15,296.85/22,916.03 = 10,342.17/x
  3. Step 3: Cross multiply
    15,296.85x = 22,916.03 × 10,342.17
  4. Step 4: Simplify right side
    15,296.85x = 237,001,426.27
  5. Step 5: Solve for x
    x = 237,001,426.27/15,296.85
  6. Step 6: Final answer
    x = 15,493.48

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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.