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Finding the Fourth Proportional to 12,417.50, 18,583.28 and 7,671.71

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Solution

The fourth proportional to 12,417.50, 18,583.28 and 7,671.71 is: 11,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.50 : 18,583.28 = 7,671.71 : x
  2. Step 2: Convert to fraction form
    12,417.50/18,583.28 = 7,671.71/x
  3. Step 3: Cross multiply
    12,417.50x = 18,583.28 × 7,671.71
  4. Step 4: Simplify right side
    12,417.50x = 142,565,488.92
  5. Step 5: Solve for x
    x = 142,565,488.92/12,417.50
  6. Step 6: Final answer
    x = 11,481.02

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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.