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Finding the Fourth Proportional to 38,008.68, 57,019.14 and 11,713.41

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Solution

The fourth proportional to 38,008.68, 57,019.14 and 11,713.41 is: 17,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,008.68 : 57,019.14 = 11,713.41 : x
  2. Step 2: Convert to fraction form
    38,008.68/57,019.14 = 11,713.41/x
  3. Step 3: Cross multiply
    38,008.68x = 57,019.14 × 11,713.41
  4. Step 4: Simplify right side
    38,008.68x = 667,888,564.67
  5. Step 5: Solve for x
    x = 667,888,564.67/38,008.68
  6. Step 6: Final answer
    x = 17,572.00

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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.