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Finding the Fourth Proportional to 24,318, 36,491.34 and 10,277.12

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Solution

The fourth proportional to 24,318, 36,491.34 and 10,277.12 is: 15,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,318 : 36,491.34 = 10,277.12 : x
  2. Step 2: Convert to fraction form
    24,318/36,491.34 = 10,277.12/x
  3. Step 3: Cross multiply
    24,318x = 36,491.34 × 10,277.12
  4. Step 4: Simplify right side
    24,318x = 375,025,880.14
  5. Step 5: Solve for x
    x = 375,025,880.14/24,318
  6. Step 6: Final answer
    x = 15,421.74

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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.