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Finding the Fourth Proportional to 17,059.78, 23,543.13 and 9,506.14

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Solution

The fourth proportional to 17,059.78, 23,543.13 and 9,506.14 is: 13,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,059.78 : 23,543.13 = 9,506.14 : x
  2. Step 2: Convert to fraction form
    17,059.78/23,543.13 = 9,506.14/x
  3. Step 3: Cross multiply
    17,059.78x = 23,543.13 × 9,506.14
  4. Step 4: Simplify right side
    17,059.78x = 223,804,289.82
  5. Step 5: Solve for x
    x = 223,804,289.82/17,059.78
  6. Step 6: Final answer
    x = 13,118.83

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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.