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Finding the Fourth Proportional to 23,101.47, 34,645.39 and 9,950.78

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Solution

The fourth proportional to 23,101.47, 34,645.39 and 9,950.78 is: 14,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.47 : 34,645.39 = 9,950.78 : x
  2. Step 2: Convert to fraction form
    23,101.47/34,645.39 = 9,950.78/x
  3. Step 3: Cross multiply
    23,101.47x = 34,645.39 × 9,950.78
  4. Step 4: Simplify right side
    23,101.47x = 344,748,715.64
  5. Step 5: Solve for x
    x = 344,748,715.64/23,101.47
  6. Step 6: Final answer
    x = 14,923.24

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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.