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Finding the Fourth Proportional to 17,116.12, 25,645 and 13,830.76

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Solution

The fourth proportional to 17,116.12, 25,645 and 13,830.76 is: 20,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,116.12 : 25,645 = 13,830.76 : x
  2. Step 2: Convert to fraction form
    17,116.12/25,645 = 13,830.76/x
  3. Step 3: Cross multiply
    17,116.12x = 25,645 × 13,830.76
  4. Step 4: Simplify right side
    17,116.12x = 354,689,840.20
  5. Step 5: Solve for x
    x = 354,689,840.20/17,116.12
  6. Step 6: Final answer
    x = 20,722.56

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