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Finding the Fourth Proportional to 15,098.48, 22,639 and 5,853.68

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Solution

The fourth proportional to 15,098.48, 22,639 and 5,853.68 is: 8,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.48 : 22,639 = 5,853.68 : x
  2. Step 2: Convert to fraction form
    15,098.48/22,639 = 5,853.68/x
  3. Step 3: Cross multiply
    15,098.48x = 22,639 × 5,853.68
  4. Step 4: Simplify right side
    15,098.48x = 132,521,461.52
  5. Step 5: Solve for x
    x = 132,521,461.52/15,098.48
  6. Step 6: Final answer
    x = 8,777.14

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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.