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Finding the Fourth Proportional to 19,407.17, 29,107.92 and 9,543.80

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Solution

The fourth proportional to 19,407.17, 29,107.92 and 9,543.80 is: 14,314.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,407.17 : 29,107.92 = 9,543.80 : x
  2. Step 2: Convert to fraction form
    19,407.17/29,107.92 = 9,543.80/x
  3. Step 3: Cross multiply
    19,407.17x = 29,107.92 × 9,543.80
  4. Step 4: Simplify right side
    19,407.17x = 277,800,166.90
  5. Step 5: Solve for x
    x = 277,800,166.90/19,407.17
  6. Step 6: Final answer
    x = 14,314.31

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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.