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Finding the Fourth Proportional to 15,494.34, 21,382.25 and 8,420.70

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Solution

The fourth proportional to 15,494.34, 21,382.25 and 8,420.70 is: 11,620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.34 : 21,382.25 = 8,420.70 : x
  2. Step 2: Convert to fraction form
    15,494.34/21,382.25 = 8,420.70/x
  3. Step 3: Cross multiply
    15,494.34x = 21,382.25 × 8,420.70
  4. Step 4: Simplify right side
    15,494.34x = 180,053,470.47
  5. Step 5: Solve for x
    x = 180,053,470.47/15,494.34
  6. Step 6: Final answer
    x = 11,620.60

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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.