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Finding the Fourth Proportional to 21,502.31, 32,251.02 and 7,459.74

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Solution

The fourth proportional to 21,502.31, 32,251.02 and 7,459.74 is: 11,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,502.31 : 32,251.02 = 7,459.74 : x
  2. Step 2: Convert to fraction form
    21,502.31/32,251.02 = 7,459.74/x
  3. Step 3: Cross multiply
    21,502.31x = 32,251.02 × 7,459.74
  4. Step 4: Simplify right side
    21,502.31x = 240,584,223.93
  5. Step 5: Solve for x
    x = 240,584,223.93/21,502.31
  6. Step 6: Final answer
    x = 11,188.76

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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.