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Finding the Fourth Proportional to 17,098.76, 23,590.74 and 9,543.86

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Solution

The fourth proportional to 17,098.76, 23,590.74 and 9,543.86 is: 13,167.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.76 : 23,590.74 = 9,543.86 : x
  2. Step 2: Convert to fraction form
    17,098.76/23,590.74 = 9,543.86/x
  3. Step 3: Cross multiply
    17,098.76x = 23,590.74 × 9,543.86
  4. Step 4: Simplify right side
    17,098.76x = 225,146,719.86
  5. Step 5: Solve for x
    x = 225,146,719.86/17,098.76
  6. Step 6: Final answer
    x = 13,167.43

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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.