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Finding the Fourth Proportional to 16,277.10, 22,462.28 and 9,203.52

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Solution

The fourth proportional to 16,277.10, 22,462.28 and 9,203.52 is: 12,700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.10 : 22,462.28 = 9,203.52 : x
  2. Step 2: Convert to fraction form
    16,277.10/22,462.28 = 9,203.52/x
  3. Step 3: Cross multiply
    16,277.10x = 22,462.28 × 9,203.52
  4. Step 4: Simplify right side
    16,277.10x = 206,732,043.23
  5. Step 5: Solve for x
    x = 206,732,043.23/16,277.10
  6. Step 6: Final answer
    x = 12,700.79

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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.