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Finding the Fourth Proportional to 14,098.20, 19,435.77 and 9,843.18

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Solution

The fourth proportional to 14,098.20, 19,435.77 and 9,843.18 is: 13,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.20 : 19,435.77 = 9,843.18 : x
  2. Step 2: Convert to fraction form
    14,098.20/19,435.77 = 9,843.18/x
  3. Step 3: Cross multiply
    14,098.20x = 19,435.77 × 9,843.18
  4. Step 4: Simplify right side
    14,098.20x = 191,309,782.55
  5. Step 5: Solve for x
    x = 191,309,782.55/14,098.20
  6. Step 6: Final answer
    x = 13,569.80

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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.