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Finding the Fourth Proportional to 16,128.80, 24,197.52 and 6,763.76

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Solution

The fourth proportional to 16,128.80, 24,197.52 and 6,763.76 is: 10,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128.80 : 24,197.52 = 6,763.76 : x
  2. Step 2: Convert to fraction form
    16,128.80/24,197.52 = 6,763.76/x
  3. Step 3: Cross multiply
    16,128.80x = 24,197.52 × 6,763.76
  4. Step 4: Simplify right side
    16,128.80x = 163,666,217.88
  5. Step 5: Solve for x
    x = 163,666,217.88/16,128.80
  6. Step 6: Final answer
    x = 10,147.45

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