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Finding the Fourth Proportional to 12,820.57, 17,690.05 and 9,748.18

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Solution

The fourth proportional to 12,820.57, 17,690.05 and 9,748.18 is: 13,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.57 : 17,690.05 = 9,748.18 : x
  2. Step 2: Convert to fraction form
    12,820.57/17,690.05 = 9,748.18/x
  3. Step 3: Cross multiply
    12,820.57x = 17,690.05 × 9,748.18
  4. Step 4: Simplify right side
    12,820.57x = 172,445,791.61
  5. Step 5: Solve for x
    x = 172,445,791.61/12,820.57
  6. Step 6: Final answer
    x = 13,450.71

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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.