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Finding the Fourth Proportional to 16,277.52, 22,463.43 and 9,205.02

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Solution

The fourth proportional to 16,277.52, 22,463.43 and 9,205.02 is: 12,703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.52 : 22,463.43 = 9,205.02 : x
  2. Step 2: Convert to fraction form
    16,277.52/22,463.43 = 9,205.02/x
  3. Step 3: Cross multiply
    16,277.52x = 22,463.43 × 9,205.02
  4. Step 4: Simplify right side
    16,277.52x = 206,776,322.42
  5. Step 5: Solve for x
    x = 206,776,322.42/16,277.52
  6. Step 6: Final answer
    x = 12,703.18

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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.