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Finding the Fourth Proportional to 17,410.48, 24,026.04 and 9,958

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Solution

The fourth proportional to 17,410.48, 24,026.04 and 9,958 is: 13,741.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,410.48 : 24,026.04 = 9,958 : x
  2. Step 2: Convert to fraction form
    17,410.48/24,026.04 = 9,958/x
  3. Step 3: Cross multiply
    17,410.48x = 24,026.04 × 9,958
  4. Step 4: Simplify right side
    17,410.48x = 239,251,306.32
  5. Step 5: Solve for x
    x = 239,251,306.32/17,410.48
  6. Step 6: Final answer
    x = 13,741.80

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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.