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Finding the Fourth Proportional to 10,155.68, 15,234 and 9,601.52

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Solution

The fourth proportional to 10,155.68, 15,234 and 9,601.52 is: 14,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.68 : 15,234 = 9,601.52 : x
  2. Step 2: Convert to fraction form
    10,155.68/15,234 = 9,601.52/x
  3. Step 3: Cross multiply
    10,155.68x = 15,234 × 9,601.52
  4. Step 4: Simplify right side
    10,155.68x = 146,269,555.68
  5. Step 5: Solve for x
    x = 146,269,555.68/10,155.68
  6. Step 6: Final answer
    x = 14,402.73

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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.