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Finding the Fourth Proportional to 34,555.84, 51,833.14 and 11,182.30

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Solution

The fourth proportional to 34,555.84, 51,833.14 and 11,182.30 is: 16,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,555.84 : 51,833.14 = 11,182.30 : x
  2. Step 2: Convert to fraction form
    34,555.84/51,833.14 = 11,182.30/x
  3. Step 3: Cross multiply
    34,555.84x = 51,833.14 × 11,182.30
  4. Step 4: Simplify right side
    34,555.84x = 579,613,721.42
  5. Step 5: Solve for x
    x = 579,613,721.42/34,555.84
  6. Step 6: Final answer
    x = 16,773.25

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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.