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Finding the Fourth Proportional to 13,524.98, 20,287.14 and 6,124.08

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Solution

The fourth proportional to 13,524.98, 20,287.14 and 6,124.08 is: 9,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.98 : 20,287.14 = 6,124.08 : x
  2. Step 2: Convert to fraction form
    13,524.98/20,287.14 = 6,124.08/x
  3. Step 3: Cross multiply
    13,524.98x = 20,287.14 × 6,124.08
  4. Step 4: Simplify right side
    13,524.98x = 124,240,068.33
  5. Step 5: Solve for x
    x = 124,240,068.33/13,524.98
  6. Step 6: Final answer
    x = 9,185.97

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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.