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Finding the Fourth Proportional to 16,277.18, 22,462.97 and 9,203.45

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Solution

The fourth proportional to 16,277.18, 22,462.97 and 9,203.45 is: 12,701.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.18 : 22,462.97 = 9,203.45 : x
  2. Step 2: Convert to fraction form
    16,277.18/22,462.97 = 9,203.45/x
  3. Step 3: Cross multiply
    16,277.18x = 22,462.97 × 9,203.45
  4. Step 4: Simplify right side
    16,277.18x = 206,736,662.91
  5. Step 5: Solve for x
    x = 206,736,662.91/16,277.18
  6. Step 6: Final answer
    x = 12,701.02

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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.