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Finding the Fourth Proportional to 17,219, 23,753.14 and 14,217.32

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Solution

The fourth proportional to 17,219, 23,753.14 and 14,217.32 is: 19,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,219 : 23,753.14 = 14,217.32 : x
  2. Step 2: Convert to fraction form
    17,219/23,753.14 = 14,217.32/x
  3. Step 3: Cross multiply
    17,219x = 23,753.14 × 14,217.32
  4. Step 4: Simplify right side
    17,219x = 337,705,992.38
  5. Step 5: Solve for x
    x = 337,705,992.38/17,219
  6. Step 6: Final answer
    x = 19,612.40

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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.