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Finding the Fourth Proportional to 24,139.28, 33,312.68 and 13,530

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Solution

The fourth proportional to 24,139.28, 33,312.68 and 13,530 is: 18,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,139.28 : 33,312.68 = 13,530 : x
  2. Step 2: Convert to fraction form
    24,139.28/33,312.68 = 13,530/x
  3. Step 3: Cross multiply
    24,139.28x = 33,312.68 × 13,530
  4. Step 4: Simplify right side
    24,139.28x = 450,720,560.40
  5. Step 5: Solve for x
    x = 450,720,560.40/24,139.28
  6. Step 6: Final answer
    x = 18,671.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.