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Finding the Fourth Proportional to 25,115.66, 37,671.66 and 10,123.77

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Solution

The fourth proportional to 25,115.66, 37,671.66 and 10,123.77 is: 15,184.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,115.66 : 37,671.66 = 10,123.77 : x
  2. Step 2: Convert to fraction form
    25,115.66/37,671.66 = 10,123.77/x
  3. Step 3: Cross multiply
    25,115.66x = 37,671.66 × 10,123.77
  4. Step 4: Simplify right side
    25,115.66x = 381,379,221.36
  5. Step 5: Solve for x
    x = 381,379,221.36/25,115.66
  6. Step 6: Final answer
    x = 15,184.92

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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.