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Finding the Fourth Proportional to 24,281.40, 36,422.10 and 9,490.80

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Solution

The fourth proportional to 24,281.40, 36,422.10 and 9,490.80 is: 14,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,281.40 : 36,422.10 = 9,490.80 : x
  2. Step 2: Convert to fraction form
    24,281.40/36,422.10 = 9,490.80/x
  3. Step 3: Cross multiply
    24,281.40x = 36,422.10 × 9,490.80
  4. Step 4: Simplify right side
    24,281.40x = 345,674,866.68
  5. Step 5: Solve for x
    x = 345,674,866.68/24,281.40
  6. Step 6: Final answer
    x = 14,236.20

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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.