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Finding the Fourth Proportional to 16,306, 22,502.28 and 8,854

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Solution

The fourth proportional to 16,306, 22,502.28 and 8,854 is: 12,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306 : 22,502.28 = 8,854 : x
  2. Step 2: Convert to fraction form
    16,306/22,502.28 = 8,854/x
  3. Step 3: Cross multiply
    16,306x = 22,502.28 × 8,854
  4. Step 4: Simplify right side
    16,306x = 199,235,187.12
  5. Step 5: Solve for x
    x = 199,235,187.12/16,306
  6. Step 6: Final answer
    x = 12,218.52

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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.