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Finding the Fourth Proportional to 16,774.47, 23,149.04 and 9,221.13

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Solution

The fourth proportional to 16,774.47, 23,149.04 and 9,221.13 is: 12,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,774.47 : 23,149.04 = 9,221.13 : x
  2. Step 2: Convert to fraction form
    16,774.47/23,149.04 = 9,221.13/x
  3. Step 3: Cross multiply
    16,774.47x = 23,149.04 × 9,221.13
  4. Step 4: Simplify right side
    16,774.47x = 213,460,261.11
  5. Step 5: Solve for x
    x = 213,460,261.11/16,774.47
  6. Step 6: Final answer
    x = 12,725.31

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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.