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Finding the Fourth Proportional to 17,114.54, 25,681.41 and 9,323.90

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Solution

The fourth proportional to 17,114.54, 25,681.41 and 9,323.90 is: 13,991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.54 : 25,681.41 = 9,323.90 : x
  2. Step 2: Convert to fraction form
    17,114.54/25,681.41 = 9,323.90/x
  3. Step 3: Cross multiply
    17,114.54x = 25,681.41 × 9,323.90
  4. Step 4: Simplify right side
    17,114.54x = 239,450,898.70
  5. Step 5: Solve for x
    x = 239,450,898.70/17,114.54
  6. Step 6: Final answer
    x = 13,991.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.