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Finding the Fourth Proportional to 13,567.84, 18,725.28 and 8,263.42

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Solution

The fourth proportional to 13,567.84, 18,725.28 and 8,263.42 is: 11,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.84 : 18,725.28 = 8,263.42 : x
  2. Step 2: Convert to fraction form
    13,567.84/18,725.28 = 8,263.42/x
  3. Step 3: Cross multiply
    13,567.84x = 18,725.28 × 8,263.42
  4. Step 4: Simplify right side
    13,567.84x = 154,734,853.26
  5. Step 5: Solve for x
    x = 154,734,853.26/13,567.84
  6. Step 6: Final answer
    x = 11,404.53

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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.