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Finding the Fourth Proportional to 17,506.80, 26,231.40 and 14,569.20

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Solution

The fourth proportional to 17,506.80, 26,231.40 and 14,569.20 is: 21,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,506.80 : 26,231.40 = 14,569.20 : x
  2. Step 2: Convert to fraction form
    17,506.80/26,231.40 = 14,569.20/x
  3. Step 3: Cross multiply
    17,506.80x = 26,231.40 × 14,569.20
  4. Step 4: Simplify right side
    17,506.80x = 382,170,512.88
  5. Step 5: Solve for x
    x = 382,170,512.88/17,506.80
  6. Step 6: Final answer
    x = 21,829.83

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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.