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Finding the Fourth Proportional to 17,873.12, 26,808 and 14,024

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Solution

The fourth proportional to 17,873.12, 26,808 and 14,024 is: 21,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,873.12 : 26,808 = 14,024 : x
  2. Step 2: Convert to fraction form
    17,873.12/26,808 = 14,024/x
  3. Step 3: Cross multiply
    17,873.12x = 26,808 × 14,024
  4. Step 4: Simplify right side
    17,873.12x = 375,955,392
  5. Step 5: Solve for x
    x = 375,955,392/17,873.12
  6. Step 6: Final answer
    x = 21,034.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.