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Finding the Fourth Proportional to 25,872.42, 38,807.83 and 7,153.59

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Solution

The fourth proportional to 25,872.42, 38,807.83 and 7,153.59 is: 10,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872.42 : 38,807.83 = 7,153.59 : x
  2. Step 2: Convert to fraction form
    25,872.42/38,807.83 = 7,153.59/x
  3. Step 3: Cross multiply
    25,872.42x = 38,807.83 × 7,153.59
  4. Step 4: Simplify right side
    25,872.42x = 277,615,304.61
  5. Step 5: Solve for x
    x = 277,615,304.61/25,872.42
  6. Step 6: Final answer
    x = 10,730.16

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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.