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Finding the Fourth Proportional to 17,397.60, 23,997.74 and 10,319

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Solution

The fourth proportional to 17,397.60, 23,997.74 and 10,319 is: 14,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,397.60 : 23,997.74 = 10,319 : x
  2. Step 2: Convert to fraction form
    17,397.60/23,997.74 = 10,319/x
  3. Step 3: Cross multiply
    17,397.60x = 23,997.74 × 10,319
  4. Step 4: Simplify right side
    17,397.60x = 247,632,679.06
  5. Step 5: Solve for x
    x = 247,632,679.06/17,397.60
  6. Step 6: Final answer
    x = 14,233.73

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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.