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Finding the Fourth Proportional to 14,405.97, 19,880.33 and 9,103.17

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Solution

The fourth proportional to 14,405.97, 19,880.33 and 9,103.17 is: 12,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.97 : 19,880.33 = 9,103.17 : x
  2. Step 2: Convert to fraction form
    14,405.97/19,880.33 = 9,103.17/x
  3. Step 3: Cross multiply
    14,405.97x = 19,880.33 × 9,103.17
  4. Step 4: Simplify right side
    14,405.97x = 180,973,978.13
  5. Step 5: Solve for x
    x = 180,973,978.13/14,405.97
  6. Step 6: Final answer
    x = 12,562.43

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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.