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Finding the Fourth Proportional to 24,510.40, 36,756.87 and 10,469.86

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Solution

The fourth proportional to 24,510.40, 36,756.87 and 10,469.86 is: 15,701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,510.40 : 36,756.87 = 10,469.86 : x
  2. Step 2: Convert to fraction form
    24,510.40/36,756.87 = 10,469.86/x
  3. Step 3: Cross multiply
    24,510.40x = 36,756.87 × 10,469.86
  4. Step 4: Simplify right side
    24,510.40x = 384,839,282.94
  5. Step 5: Solve for x
    x = 384,839,282.94/24,510.40
  6. Step 6: Final answer
    x = 15,701.06

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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.