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Finding the Fourth Proportional to 24,510.29, 36,768.87 and 9,720.70

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Solution

The fourth proportional to 24,510.29, 36,768.87 and 9,720.70 is: 14,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,510.29 : 36,768.87 = 9,720.70 : x
  2. Step 2: Convert to fraction form
    24,510.29/36,768.87 = 9,720.70/x
  3. Step 3: Cross multiply
    24,510.29x = 36,768.87 × 9,720.70
  4. Step 4: Simplify right side
    24,510.29x = 357,419,062.69
  5. Step 5: Solve for x
    x = 357,419,062.69/24,510.29
  6. Step 6: Final answer
    x = 14,582.41

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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.