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Finding the Fourth Proportional to 24,146.40, 36,193.80 and 10,102.88

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Solution

The fourth proportional to 24,146.40, 36,193.80 and 10,102.88 is: 15,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.40 : 36,193.80 = 10,102.88 : x
  2. Step 2: Convert to fraction form
    24,146.40/36,193.80 = 10,102.88/x
  3. Step 3: Cross multiply
    24,146.40x = 36,193.80 × 10,102.88
  4. Step 4: Simplify right side
    24,146.40x = 365,661,618.14
  5. Step 5: Solve for x
    x = 365,661,618.14/24,146.40
  6. Step 6: Final answer
    x = 15,143.53

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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.