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Finding the Fourth Proportional to 15,073.74, 22,575.06 and 7,659.81

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Solution

The fourth proportional to 15,073.74, 22,575.06 and 7,659.81 is: 11,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,073.74 : 22,575.06 = 7,659.81 : x
  2. Step 2: Convert to fraction form
    15,073.74/22,575.06 = 7,659.81/x
  3. Step 3: Cross multiply
    15,073.74x = 22,575.06 × 7,659.81
  4. Step 4: Simplify right side
    15,073.74x = 172,920,670.34
  5. Step 5: Solve for x
    x = 172,920,670.34/15,073.74
  6. Step 6: Final answer
    x = 11,471.65

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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.