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Finding the Fourth Proportional to 16,306.24, 22,502.62 and 8,854.24

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Solution

The fourth proportional to 16,306.24, 22,502.62 and 8,854.24 is: 12,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.24 : 22,502.62 = 8,854.24 : x
  2. Step 2: Convert to fraction form
    16,306.24/22,502.62 = 8,854.24/x
  3. Step 3: Cross multiply
    16,306.24x = 22,502.62 × 8,854.24
  4. Step 4: Simplify right side
    16,306.24x = 199,243,598.11
  5. Step 5: Solve for x
    x = 199,243,598.11/16,306.24
  6. Step 6: Final answer
    x = 12,218.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.