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Finding the Fourth Proportional to 24,158.40, 36,235.80 and 10,114.80

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Solution

The fourth proportional to 24,158.40, 36,235.80 and 10,114.80 is: 15,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,158.40 : 36,235.80 = 10,114.80 : x
  2. Step 2: Convert to fraction form
    24,158.40/36,235.80 = 10,114.80/x
  3. Step 3: Cross multiply
    24,158.40x = 36,235.80 × 10,114.80
  4. Step 4: Simplify right side
    24,158.40x = 366,517,869.84
  5. Step 5: Solve for x
    x = 366,517,869.84/24,158.40
  6. Step 6: Final answer
    x = 15,171.45

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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.