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Finding the Fourth Proportional to 15,246.34, 22,862 and 5,384.18

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Solution

The fourth proportional to 15,246.34, 22,862 and 5,384.18 is: 8,073.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,246.34 : 22,862 = 5,384.18 : x
  2. Step 2: Convert to fraction form
    15,246.34/22,862 = 5,384.18/x
  3. Step 3: Cross multiply
    15,246.34x = 22,862 × 5,384.18
  4. Step 4: Simplify right side
    15,246.34x = 123,093,123.16
  5. Step 5: Solve for x
    x = 123,093,123.16/15,246.34
  6. Step 6: Final answer
    x = 8,073.62

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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.