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Finding the Fourth Proportional to 16,648.28, 24,950.88 and 6,776

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Solution

The fourth proportional to 16,648.28, 24,950.88 and 6,776 is: 10,155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648.28 : 24,950.88 = 6,776 : x
  2. Step 2: Convert to fraction form
    16,648.28/24,950.88 = 6,776/x
  3. Step 3: Cross multiply
    16,648.28x = 24,950.88 × 6,776
  4. Step 4: Simplify right side
    16,648.28x = 169,067,162.88
  5. Step 5: Solve for x
    x = 169,067,162.88/16,648.28
  6. Step 6: Final answer
    x = 10,155.23

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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.