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Finding the Fourth Proportional to 17,808.17, 24,575.23 and 10,251.75

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Solution

The fourth proportional to 17,808.17, 24,575.23 and 10,251.75 is: 14,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,808.17 : 24,575.23 = 10,251.75 : x
  2. Step 2: Convert to fraction form
    17,808.17/24,575.23 = 10,251.75/x
  3. Step 3: Cross multiply
    17,808.17x = 24,575.23 × 10,251.75
  4. Step 4: Simplify right side
    17,808.17x = 251,939,088.52
  5. Step 5: Solve for x
    x = 251,939,088.52/17,808.17
  6. Step 6: Final answer
    x = 14,147.39

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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.