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Finding the Fourth Proportional to 16,432.80, 24,653.76 and 4,747.20

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Solution

The fourth proportional to 16,432.80, 24,653.76 and 4,747.20 is: 7,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432.80 : 24,653.76 = 4,747.20 : x
  2. Step 2: Convert to fraction form
    16,432.80/24,653.76 = 4,747.20/x
  3. Step 3: Cross multiply
    16,432.80x = 24,653.76 × 4,747.20
  4. Step 4: Simplify right side
    16,432.80x = 117,036,329.47
  5. Step 5: Solve for x
    x = 117,036,329.47/16,432.80
  6. Step 6: Final answer
    x = 7,122.12

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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.