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Finding the Fourth Proportional to 17,748.42, 24,492.42 and 9,791.40

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Solution

The fourth proportional to 17,748.42, 24,492.42 and 9,791.40 is: 13,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,748.42 : 24,492.42 = 9,791.40 : x
  2. Step 2: Convert to fraction form
    17,748.42/24,492.42 = 9,791.40/x
  3. Step 3: Cross multiply
    17,748.42x = 24,492.42 × 9,791.40
  4. Step 4: Simplify right side
    17,748.42x = 239,815,081.19
  5. Step 5: Solve for x
    x = 239,815,081.19/17,748.42
  6. Step 6: Final answer
    x = 13,511.91

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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.