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Finding the Fourth Proportional to 25,882.48, 38,816.64 and 7,158.04

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Solution

The fourth proportional to 25,882.48, 38,816.64 and 7,158.04 is: 10,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.48 : 38,816.64 = 7,158.04 : x
  2. Step 2: Convert to fraction form
    25,882.48/38,816.64 = 7,158.04/x
  3. Step 3: Cross multiply
    25,882.48x = 38,816.64 × 7,158.04
  4. Step 4: Simplify right side
    25,882.48x = 277,851,061.79
  5. Step 5: Solve for x
    x = 277,851,061.79/25,882.48
  6. Step 6: Final answer
    x = 10,735.10

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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.