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Finding the Fourth Proportional to 17,971.98, 24,801.27 and 10,014.30

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Solution

The fourth proportional to 17,971.98, 24,801.27 and 10,014.30 is: 13,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.98 : 24,801.27 = 10,014.30 : x
  2. Step 2: Convert to fraction form
    17,971.98/24,801.27 = 10,014.30/x
  3. Step 3: Cross multiply
    17,971.98x = 24,801.27 × 10,014.30
  4. Step 4: Simplify right side
    17,971.98x = 248,367,358.16
  5. Step 5: Solve for x
    x = 248,367,358.16/17,971.98
  6. Step 6: Final answer
    x = 13,819.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.