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Finding the Fourth Proportional to 16,107.29, 22,230.48 and 9,823.31

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Solution

The fourth proportional to 16,107.29, 22,230.48 and 9,823.31 is: 13,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107.29 : 22,230.48 = 9,823.31 : x
  2. Step 2: Convert to fraction form
    16,107.29/22,230.48 = 9,823.31/x
  3. Step 3: Cross multiply
    16,107.29x = 22,230.48 × 9,823.31
  4. Step 4: Simplify right side
    16,107.29x = 218,376,785.34
  5. Step 5: Solve for x
    x = 218,376,785.34/16,107.29
  6. Step 6: Final answer
    x = 13,557.64

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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.