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Finding the Fourth Proportional to 12,757.80, 19,136.70 and 9,477.30

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Solution

The fourth proportional to 12,757.80, 19,136.70 and 9,477.30 is: 14,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.80 : 19,136.70 = 9,477.30 : x
  2. Step 2: Convert to fraction form
    12,757.80/19,136.70 = 9,477.30/x
  3. Step 3: Cross multiply
    12,757.80x = 19,136.70 × 9,477.30
  4. Step 4: Simplify right side
    12,757.80x = 181,364,246.91
  5. Step 5: Solve for x
    x = 181,364,246.91/12,757.80
  6. Step 6: Final answer
    x = 14,215.95

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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.