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Finding the Fourth Proportional to 16,480.77, 24,724.33 and 5,384.47

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Solution

The fourth proportional to 16,480.77, 24,724.33 and 5,384.47 is: 8,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,480.77 : 24,724.33 = 5,384.47 : x
  2. Step 2: Convert to fraction form
    16,480.77/24,724.33 = 5,384.47/x
  3. Step 3: Cross multiply
    16,480.77x = 24,724.33 × 5,384.47
  4. Step 4: Simplify right side
    16,480.77x = 133,127,413.16
  5. Step 5: Solve for x
    x = 133,127,413.16/16,480.77
  6. Step 6: Final answer
    x = 8,077.74

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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.