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Finding the Fourth Proportional to 25,585.50, 38,400.12 and 10,014.06

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Solution

The fourth proportional to 25,585.50, 38,400.12 and 10,014.06 is: 15,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,585.50 : 38,400.12 = 10,014.06 : x
  2. Step 2: Convert to fraction form
    25,585.50/38,400.12 = 10,014.06/x
  3. Step 3: Cross multiply
    25,585.50x = 38,400.12 × 10,014.06
  4. Step 4: Simplify right side
    25,585.50x = 384,541,105.69
  5. Step 5: Solve for x
    x = 384,541,105.69/25,585.50
  6. Step 6: Final answer
    x = 15,029.65

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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.