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Finding the Fourth Proportional to 25,606.74, 38,410.04 and 10,013.42

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Solution

The fourth proportional to 25,606.74, 38,410.04 and 10,013.42 is: 15,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,606.74 : 38,410.04 = 10,013.42 : x
  2. Step 2: Convert to fraction form
    25,606.74/38,410.04 = 10,013.42/x
  3. Step 3: Cross multiply
    25,606.74x = 38,410.04 × 10,013.42
  4. Step 4: Simplify right side
    25,606.74x = 384,615,862.74
  5. Step 5: Solve for x
    x = 384,615,862.74/25,606.74
  6. Step 6: Final answer
    x = 15,020.10

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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.