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Finding the Fourth Proportional to 24,510.67, 36,762.05 and 6,976.40

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Solution

The fourth proportional to 24,510.67, 36,762.05 and 6,976.40 is: 10,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,510.67 : 36,762.05 = 6,976.40 : x
  2. Step 2: Convert to fraction form
    24,510.67/36,762.05 = 6,976.40/x
  3. Step 3: Cross multiply
    24,510.67x = 36,762.05 × 6,976.40
  4. Step 4: Simplify right side
    24,510.67x = 256,466,599.25
  5. Step 5: Solve for x
    x = 256,466,599.25/24,510.67
  6. Step 6: Final answer
    x = 10,463.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.