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Finding the Fourth Proportional to 16,502.81, 22,773.96 and 9,429.48

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Solution

The fourth proportional to 16,502.81, 22,773.96 and 9,429.48 is: 13,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.81 : 22,773.96 = 9,429.48 : x
  2. Step 2: Convert to fraction form
    16,502.81/22,773.96 = 9,429.48/x
  3. Step 3: Cross multiply
    16,502.81x = 22,773.96 × 9,429.48
  4. Step 4: Simplify right side
    16,502.81x = 214,746,600.34
  5. Step 5: Solve for x
    x = 214,746,600.34/16,502.81
  6. Step 6: Final answer
    x = 13,012.73

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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.