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Finding the Fourth Proportional to 17,309, 23,886.42 and 9,858.44

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Solution

The fourth proportional to 17,309, 23,886.42 and 9,858.44 is: 13,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,309 : 23,886.42 = 9,858.44 : x
  2. Step 2: Convert to fraction form
    17,309/23,886.42 = 9,858.44/x
  3. Step 3: Cross multiply
    17,309x = 23,886.42 × 9,858.44
  4. Step 4: Simplify right side
    17,309x = 235,482,838.38
  5. Step 5: Solve for x
    x = 235,482,838.38/17,309
  6. Step 6: Final answer
    x = 13,604.65

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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.