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Finding the Fourth Proportional to 12,548.69, 18,822.15 and 5,886.64

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Solution

The fourth proportional to 12,548.69, 18,822.15 and 5,886.64 is: 8,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548.69 : 18,822.15 = 5,886.64 : x
  2. Step 2: Convert to fraction form
    12,548.69/18,822.15 = 5,886.64/x
  3. Step 3: Cross multiply
    12,548.69x = 18,822.15 × 5,886.64
  4. Step 4: Simplify right side
    12,548.69x = 110,799,221.08
  5. Step 5: Solve for x
    x = 110,799,221.08/12,548.69
  6. Step 6: Final answer
    x = 8,829.54

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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.