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Finding the Fourth Proportional to 17,005.88, 23,461.38 and 9,834.48

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Solution

The fourth proportional to 17,005.88, 23,461.38 and 9,834.48 is: 13,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,005.88 : 23,461.38 = 9,834.48 : x
  2. Step 2: Convert to fraction form
    17,005.88/23,461.38 = 9,834.48/x
  3. Step 3: Cross multiply
    17,005.88x = 23,461.38 × 9,834.48
  4. Step 4: Simplify right side
    17,005.88x = 230,730,472.38
  5. Step 5: Solve for x
    x = 230,730,472.38/17,005.88
  6. Step 6: Final answer
    x = 13,567.69

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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.