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Finding the Fourth Proportional to 12,377.64, 18,564.15 and 3,490.78

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Solution

The fourth proportional to 12,377.64, 18,564.15 and 3,490.78 is: 5,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.64 : 18,564.15 = 3,490.78 : x
  2. Step 2: Convert to fraction form
    12,377.64/18,564.15 = 3,490.78/x
  3. Step 3: Cross multiply
    12,377.64x = 18,564.15 × 3,490.78
  4. Step 4: Simplify right side
    12,377.64x = 64,803,335.57
  5. Step 5: Solve for x
    x = 64,803,335.57/12,377.64
  6. Step 6: Final answer
    x = 5,235.52

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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.