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Finding the Fourth Proportional to 17,780.50, 24,537.09 and 10,708.29

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Solution

The fourth proportional to 17,780.50, 24,537.09 and 10,708.29 is: 14,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.50 : 24,537.09 = 10,708.29 : x
  2. Step 2: Convert to fraction form
    17,780.50/24,537.09 = 10,708.29/x
  3. Step 3: Cross multiply
    17,780.50x = 24,537.09 × 10,708.29
  4. Step 4: Simplify right side
    17,780.50x = 262,750,275.48
  5. Step 5: Solve for x
    x = 262,750,275.48/17,780.50
  6. Step 6: Final answer
    x = 14,777.44

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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.