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Finding the Fourth Proportional to 24,288.80, 36,429 and 6,758.72

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Solution

The fourth proportional to 24,288.80, 36,429 and 6,758.72 is: 10,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,288.80 : 36,429 = 6,758.72 : x
  2. Step 2: Convert to fraction form
    24,288.80/36,429 = 6,758.72/x
  3. Step 3: Cross multiply
    24,288.80x = 36,429 × 6,758.72
  4. Step 4: Simplify right side
    24,288.80x = 246,213,410.88
  5. Step 5: Solve for x
    x = 246,213,410.88/24,288.80
  6. Step 6: Final answer
    x = 10,136.91

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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.