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Finding the Fourth Proportional to 16,238.70, 22,411.67 and 9,526.50

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Solution

The fourth proportional to 16,238.70, 22,411.67 and 9,526.50 is: 13,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.70 : 22,411.67 = 9,526.50 : x
  2. Step 2: Convert to fraction form
    16,238.70/22,411.67 = 9,526.50/x
  3. Step 3: Cross multiply
    16,238.70x = 22,411.67 × 9,526.50
  4. Step 4: Simplify right side
    16,238.70x = 213,504,726.62
  5. Step 5: Solve for x
    x = 213,504,726.62/16,238.70
  6. Step 6: Final answer
    x = 13,147.90

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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.