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Finding the Fourth Proportional to 12,443.61, 18,668.04 and 4,123.15

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Solution

The fourth proportional to 12,443.61, 18,668.04 and 4,123.15 is: 6,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.61 : 18,668.04 = 4,123.15 : x
  2. Step 2: Convert to fraction form
    12,443.61/18,668.04 = 4,123.15/x
  3. Step 3: Cross multiply
    12,443.61x = 18,668.04 × 4,123.15
  4. Step 4: Simplify right side
    12,443.61x = 76,971,129.13
  5. Step 5: Solve for x
    x = 76,971,129.13/12,443.61
  6. Step 6: Final answer
    x = 6,185.59

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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.