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Finding the Fourth Proportional to 21,502.95, 32,249.03 and 7,648.71

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Solution

The fourth proportional to 21,502.95, 32,249.03 and 7,648.71 is: 11,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,502.95 : 32,249.03 = 7,648.71 : x
  2. Step 2: Convert to fraction form
    21,502.95/32,249.03 = 7,648.71/x
  3. Step 3: Cross multiply
    21,502.95x = 32,249.03 × 7,648.71
  4. Step 4: Simplify right side
    21,502.95x = 246,663,440.01
  5. Step 5: Solve for x
    x = 246,663,440.01/21,502.95
  6. Step 6: Final answer
    x = 11,471.14

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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.