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Finding the Fourth Proportional to 38,002.36, 57,007.19 and 9,922.90

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Solution

The fourth proportional to 38,002.36, 57,007.19 and 9,922.90 is: 14,885.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,002.36 : 57,007.19 = 9,922.90 : x
  2. Step 2: Convert to fraction form
    38,002.36/57,007.19 = 9,922.90/x
  3. Step 3: Cross multiply
    38,002.36x = 57,007.19 × 9,922.90
  4. Step 4: Simplify right side
    38,002.36x = 565,676,645.65
  5. Step 5: Solve for x
    x = 565,676,645.65/38,002.36
  6. Step 6: Final answer
    x = 14,885.30

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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.