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Finding the Fourth Proportional to 17,410.14, 24,026.13 and 10,238.13

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Solution

The fourth proportional to 17,410.14, 24,026.13 and 10,238.13 is: 14,128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,410.14 : 24,026.13 = 10,238.13 : x
  2. Step 2: Convert to fraction form
    17,410.14/24,026.13 = 10,238.13/x
  3. Step 3: Cross multiply
    17,410.14x = 24,026.13 × 10,238.13
  4. Step 4: Simplify right side
    17,410.14x = 245,982,642.34
  5. Step 5: Solve for x
    x = 245,982,642.34/17,410.14
  6. Step 6: Final answer
    x = 14,128.70

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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.