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Finding the Fourth Proportional to 25,149.40, 37,724.10 and 6,681.40

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Solution

The fourth proportional to 25,149.40, 37,724.10 and 6,681.40 is: 10,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,149.40 : 37,724.10 = 6,681.40 : x
  2. Step 2: Convert to fraction form
    25,149.40/37,724.10 = 6,681.40/x
  3. Step 3: Cross multiply
    25,149.40x = 37,724.10 × 6,681.40
  4. Step 4: Simplify right side
    25,149.40x = 252,049,801.74
  5. Step 5: Solve for x
    x = 252,049,801.74/25,149.40
  6. Step 6: Final answer
    x = 10,022.10

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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.