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Finding the Fourth Proportional to 17,748.58, 24,494.25 and 10,296.58

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Solution

The fourth proportional to 17,748.58, 24,494.25 and 10,296.58 is: 14,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,748.58 : 24,494.25 = 10,296.58 : x
  2. Step 2: Convert to fraction form
    17,748.58/24,494.25 = 10,296.58/x
  3. Step 3: Cross multiply
    17,748.58x = 24,494.25 × 10,296.58
  4. Step 4: Simplify right side
    17,748.58x = 252,207,004.67
  5. Step 5: Solve for x
    x = 252,207,004.67/17,748.58
  6. Step 6: Final answer
    x = 14,209.98

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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.