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Finding the Fourth Proportional to 25,678.96, 38,501.84 and 10,098.16

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Solution

The fourth proportional to 25,678.96, 38,501.84 and 10,098.16 is: 15,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,678.96 : 38,501.84 = 10,098.16 : x
  2. Step 2: Convert to fraction form
    25,678.96/38,501.84 = 10,098.16/x
  3. Step 3: Cross multiply
    25,678.96x = 38,501.84 × 10,098.16
  4. Step 4: Simplify right side
    25,678.96x = 388,797,740.61
  5. Step 5: Solve for x
    x = 388,797,740.61/25,678.96
  6. Step 6: Final answer
    x = 15,140.71

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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.