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Finding the Fourth Proportional to 24,140.40, 36,184.80 and 10,096.88

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Solution

The fourth proportional to 24,140.40, 36,184.80 and 10,096.88 is: 15,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,140.40 : 36,184.80 = 10,096.88 : x
  2. Step 2: Convert to fraction form
    24,140.40/36,184.80 = 10,096.88/x
  3. Step 3: Cross multiply
    24,140.40x = 36,184.80 × 10,096.88
  4. Step 4: Simplify right side
    24,140.40x = 365,353,583.42
  5. Step 5: Solve for x
    x = 365,353,583.42/24,140.40
  6. Step 6: Final answer
    x = 15,134.53

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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.