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Finding the Fourth Proportional to 25,480.39, 38,235.62 and 9,698.71

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Solution

The fourth proportional to 25,480.39, 38,235.62 and 9,698.71 is: 14,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,480.39 : 38,235.62 = 9,698.71 : x
  2. Step 2: Convert to fraction form
    25,480.39/38,235.62 = 9,698.71/x
  3. Step 3: Cross multiply
    25,480.39x = 38,235.62 × 9,698.71
  4. Step 4: Simplify right side
    25,480.39x = 370,835,950.38
  5. Step 5: Solve for x
    x = 370,835,950.38/25,480.39
  6. Step 6: Final answer
    x = 14,553.78

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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.