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Finding the Fourth Proportional to 16,277.30, 22,463.14 and 9,203.57

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Solution

The fourth proportional to 16,277.30, 22,463.14 and 9,203.57 is: 12,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.30 : 22,463.14 = 9,203.57 : x
  2. Step 2: Convert to fraction form
    16,277.30/22,463.14 = 9,203.57/x
  3. Step 3: Cross multiply
    16,277.30x = 22,463.14 × 9,203.57
  4. Step 4: Simplify right side
    16,277.30x = 206,740,969.09
  5. Step 5: Solve for x
    x = 206,740,969.09/16,277.30
  6. Step 6: Final answer
    x = 12,701.19

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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.