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Finding the Fourth Proportional to 16,489.26, 22,754.07 and 10,200.42

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Solution

The fourth proportional to 16,489.26, 22,754.07 and 10,200.42 is: 14,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.26 : 22,754.07 = 10,200.42 : x
  2. Step 2: Convert to fraction form
    16,489.26/22,754.07 = 10,200.42/x
  3. Step 3: Cross multiply
    16,489.26x = 22,754.07 × 10,200.42
  4. Step 4: Simplify right side
    16,489.26x = 232,101,070.71
  5. Step 5: Solve for x
    x = 232,101,070.71/16,489.26
  6. Step 6: Final answer
    x = 14,075.89

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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.