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Finding the Fourth Proportional to 12,744.66, 19,117.80 and 3,384.53

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Solution

The fourth proportional to 12,744.66, 19,117.80 and 3,384.53 is: 5,077.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.66 : 19,117.80 = 3,384.53 : x
  2. Step 2: Convert to fraction form
    12,744.66/19,117.80 = 3,384.53/x
  3. Step 3: Cross multiply
    12,744.66x = 19,117.80 × 3,384.53
  4. Step 4: Simplify right side
    12,744.66x = 64,704,672.05
  5. Step 5: Solve for x
    x = 64,704,672.05/12,744.66
  6. Step 6: Final answer
    x = 5,077.00

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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.