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Finding the Fourth Proportional to 17,986.50, 24,824.61 and 10,534.50

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Solution

The fourth proportional to 17,986.50, 24,824.61 and 10,534.50 is: 14,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,986.50 : 24,824.61 = 10,534.50 : x
  2. Step 2: Convert to fraction form
    17,986.50/24,824.61 = 10,534.50/x
  3. Step 3: Cross multiply
    17,986.50x = 24,824.61 × 10,534.50
  4. Step 4: Simplify right side
    17,986.50x = 261,514,854.05
  5. Step 5: Solve for x
    x = 261,514,854.05/17,986.50
  6. Step 6: Final answer
    x = 14,539.51

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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.