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Finding the Fourth Proportional to 13,531.90, 18,679.78 and 8,228.42

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Solution

The fourth proportional to 13,531.90, 18,679.78 and 8,228.42 is: 11,358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.90 : 18,679.78 = 8,228.42 : x
  2. Step 2: Convert to fraction form
    13,531.90/18,679.78 = 8,228.42/x
  3. Step 3: Cross multiply
    13,531.90x = 18,679.78 × 8,228.42
  4. Step 4: Simplify right side
    13,531.90x = 153,705,075.35
  5. Step 5: Solve for x
    x = 153,705,075.35/13,531.90
  6. Step 6: Final answer
    x = 11,358.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.