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Finding the Fourth Proportional to 24,473.55, 36,711.72 and 6,942

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Solution

The fourth proportional to 24,473.55, 36,711.72 and 6,942 is: 10,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,473.55 : 36,711.72 = 6,942 : x
  2. Step 2: Convert to fraction form
    24,473.55/36,711.72 = 6,942/x
  3. Step 3: Cross multiply
    24,473.55x = 36,711.72 × 6,942
  4. Step 4: Simplify right side
    24,473.55x = 254,852,760.24
  5. Step 5: Solve for x
    x = 254,852,760.24/24,473.55
  6. Step 6: Final answer
    x = 10,413.40

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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.