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Finding the Fourth Proportional to 16,117.78, 22,241.96 and 8,948.01

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Solution

The fourth proportional to 16,117.78, 22,241.96 and 8,948.01 is: 12,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.78 : 22,241.96 = 8,948.01 : x
  2. Step 2: Convert to fraction form
    16,117.78/22,241.96 = 8,948.01/x
  3. Step 3: Cross multiply
    16,117.78x = 22,241.96 × 8,948.01
  4. Step 4: Simplify right side
    16,117.78x = 199,021,124.55
  5. Step 5: Solve for x
    x = 199,021,124.55/16,117.78
  6. Step 6: Final answer
    x = 12,347.92

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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.