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Finding the Fourth Proportional to 16,114.96, 22,239.56 and 9,042

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Solution

The fourth proportional to 16,114.96, 22,239.56 and 9,042 is: 12,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.96 : 22,239.56 = 9,042 : x
  2. Step 2: Convert to fraction form
    16,114.96/22,239.56 = 9,042/x
  3. Step 3: Cross multiply
    16,114.96x = 22,239.56 × 9,042
  4. Step 4: Simplify right side
    16,114.96x = 201,090,101.52
  5. Step 5: Solve for x
    x = 201,090,101.52/16,114.96
  6. Step 6: Final answer
    x = 12,478.47

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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.