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Finding the Fourth Proportional to 12,833.91, 19,261.80 and 7,561.20

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Solution

The fourth proportional to 12,833.91, 19,261.80 and 7,561.20 is: 11,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.91 : 19,261.80 = 7,561.20 : x
  2. Step 2: Convert to fraction form
    12,833.91/19,261.80 = 7,561.20/x
  3. Step 3: Cross multiply
    12,833.91x = 19,261.80 × 7,561.20
  4. Step 4: Simplify right side
    12,833.91x = 145,642,286.04
  5. Step 5: Solve for x
    x = 145,642,286.04/12,833.91
  6. Step 6: Final answer
    x = 11,348.24

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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.