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Finding the Fourth Proportional to 16,609.32, 22,918.14 and 9,894.83

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Solution

The fourth proportional to 16,609.32, 22,918.14 and 9,894.83 is: 13,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,609.32 : 22,918.14 = 9,894.83 : x
  2. Step 2: Convert to fraction form
    16,609.32/22,918.14 = 9,894.83/x
  3. Step 3: Cross multiply
    16,609.32x = 22,918.14 × 9,894.83
  4. Step 4: Simplify right side
    16,609.32x = 226,770,984.63
  5. Step 5: Solve for x
    x = 226,770,984.63/16,609.32
  6. Step 6: Final answer
    x = 13,653.24

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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.