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Finding the Fourth Proportional to 24,510.84, 36,772.40 and 6,980.66

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Solution

The fourth proportional to 24,510.84, 36,772.40 and 6,980.66 is: 10,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,510.84 : 36,772.40 = 6,980.66 : x
  2. Step 2: Convert to fraction form
    24,510.84/36,772.40 = 6,980.66/x
  3. Step 3: Cross multiply
    24,510.84x = 36,772.40 × 6,980.66
  4. Step 4: Simplify right side
    24,510.84x = 256,695,437.92
  5. Step 5: Solve for x
    x = 256,695,437.92/24,510.84
  6. Step 6: Final answer
    x = 10,472.73

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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.