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Finding the Fourth Proportional to 38,002.30, 57,006.69 and 9,926.08

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Solution

The fourth proportional to 38,002.30, 57,006.69 and 9,926.08 is: 14,889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,002.30 : 57,006.69 = 9,926.08 : x
  2. Step 2: Convert to fraction form
    38,002.30/57,006.69 = 9,926.08/x
  3. Step 3: Cross multiply
    38,002.30x = 57,006.69 × 9,926.08
  4. Step 4: Simplify right side
    38,002.30x = 565,852,965.48
  5. Step 5: Solve for x
    x = 565,852,965.48/38,002.30
  6. Step 6: Final answer
    x = 14,889.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.