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Finding the Fourth Proportional to 17,107.65, 25,674.50 and 13,784.02

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Solution

The fourth proportional to 17,107.65, 25,674.50 and 13,784.02 is: 20,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,107.65 : 25,674.50 = 13,784.02 : x
  2. Step 2: Convert to fraction form
    17,107.65/25,674.50 = 13,784.02/x
  3. Step 3: Cross multiply
    17,107.65x = 25,674.50 × 13,784.02
  4. Step 4: Simplify right side
    17,107.65x = 353,897,791.76
  5. Step 5: Solve for x
    x = 353,897,791.76/17,107.65
  6. Step 6: Final answer
    x = 20,686.52

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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.