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Finding the Fourth Proportional to 17,405.20, 26,107.80 and 13,646.80

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Solution

The fourth proportional to 17,405.20, 26,107.80 and 13,646.80 is: 20,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,405.20 : 26,107.80 = 13,646.80 : x
  2. Step 2: Convert to fraction form
    17,405.20/26,107.80 = 13,646.80/x
  3. Step 3: Cross multiply
    17,405.20x = 26,107.80 × 13,646.80
  4. Step 4: Simplify right side
    17,405.20x = 356,287,925.04
  5. Step 5: Solve for x
    x = 356,287,925.04/17,405.20
  6. Step 6: Final answer
    x = 20,470.20

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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.