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Finding the Fourth Proportional to 25,628.64, 38,456.64 and 10,046.40

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Solution

The fourth proportional to 25,628.64, 38,456.64 and 10,046.40 is: 15,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,628.64 : 38,456.64 = 10,046.40 : x
  2. Step 2: Convert to fraction form
    25,628.64/38,456.64 = 10,046.40/x
  3. Step 3: Cross multiply
    25,628.64x = 38,456.64 × 10,046.40
  4. Step 4: Simplify right side
    25,628.64x = 386,350,788.10
  5. Step 5: Solve for x
    x = 386,350,788.10/25,628.64
  6. Step 6: Final answer
    x = 15,074.96

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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.