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Finding the Fourth Proportional to 13,246.41, 18,280.17 and 7,278.20

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Solution

The fourth proportional to 13,246.41, 18,280.17 and 7,278.20 is: 10,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246.41 : 18,280.17 = 7,278.20 : x
  2. Step 2: Convert to fraction form
    13,246.41/18,280.17 = 7,278.20/x
  3. Step 3: Cross multiply
    13,246.41x = 18,280.17 × 7,278.20
  4. Step 4: Simplify right side
    13,246.41x = 133,046,733.29
  5. Step 5: Solve for x
    x = 133,046,733.29/13,246.41
  6. Step 6: Final answer
    x = 10,043.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.