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Finding the Fourth Proportional to 24,233.28, 36,324 and 12,534.72

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Solution

The fourth proportional to 24,233.28, 36,324 and 12,534.72 is: 18,788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,233.28 : 36,324 = 12,534.72 : x
  2. Step 2: Convert to fraction form
    24,233.28/36,324 = 12,534.72/x
  3. Step 3: Cross multiply
    24,233.28x = 36,324 × 12,534.72
  4. Step 4: Simplify right side
    24,233.28x = 455,311,169.28
  5. Step 5: Solve for x
    x = 455,311,169.28/24,233.28
  6. Step 6: Final answer
    x = 18,788.67

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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.