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Finding the Fourth Proportional to 38,004.30, 57,006.15 and 9,924.30

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Solution

The fourth proportional to 38,004.30, 57,006.15 and 9,924.30 is: 14,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,004.30 : 57,006.15 = 9,924.30 : x
  2. Step 2: Convert to fraction form
    38,004.30/57,006.15 = 9,924.30/x
  3. Step 3: Cross multiply
    38,004.30x = 57,006.15 × 9,924.30
  4. Step 4: Simplify right side
    38,004.30x = 565,746,134.45
  5. Step 5: Solve for x
    x = 565,746,134.45/38,004.30
  6. Step 6: Final answer
    x = 14,886.37

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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.