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Finding the Fourth Proportional to 11,535.33, 17,239.80 and 8,421.90

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Solution

The fourth proportional to 11,535.33, 17,239.80 and 8,421.90 is: 12,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.33 : 17,239.80 = 8,421.90 : x
  2. Step 2: Convert to fraction form
    11,535.33/17,239.80 = 8,421.90/x
  3. Step 3: Cross multiply
    11,535.33x = 17,239.80 × 8,421.90
  4. Step 4: Simplify right side
    11,535.33x = 145,191,871.62
  5. Step 5: Solve for x
    x = 145,191,871.62/11,535.33
  6. Step 6: Final answer
    x = 12,586.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.