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Finding the Fourth Proportional to 16,142.90, 22,277.63 and 9,069.98

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Solution

The fourth proportional to 16,142.90, 22,277.63 and 9,069.98 is: 12,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.90 : 22,277.63 = 9,069.98 : x
  2. Step 2: Convert to fraction form
    16,142.90/22,277.63 = 9,069.98/x
  3. Step 3: Cross multiply
    16,142.90x = 22,277.63 × 9,069.98
  4. Step 4: Simplify right side
    16,142.90x = 202,057,569.83
  5. Step 5: Solve for x
    x = 202,057,569.83/16,142.90
  6. Step 6: Final answer
    x = 12,516.81

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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.