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Finding the Fourth Proportional to 24,089.70, 36,140.85 and 9,299.10

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Solution

The fourth proportional to 24,089.70, 36,140.85 and 9,299.10 is: 13,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,089.70 : 36,140.85 = 9,299.10 : x
  2. Step 2: Convert to fraction form
    24,089.70/36,140.85 = 9,299.10/x
  3. Step 3: Cross multiply
    24,089.70x = 36,140.85 × 9,299.10
  4. Step 4: Simplify right side
    24,089.70x = 336,077,378.24
  5. Step 5: Solve for x
    x = 336,077,378.24/24,089.70
  6. Step 6: Final answer
    x = 13,951.08

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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.