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Finding the Fourth Proportional to 12,353.31, 17,034.44 and 9,830.43

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Solution

The fourth proportional to 12,353.31, 17,034.44 and 9,830.43 is: 13,555.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.31 : 17,034.44 = 9,830.43 : x
  2. Step 2: Convert to fraction form
    12,353.31/17,034.44 = 9,830.43/x
  3. Step 3: Cross multiply
    12,353.31x = 17,034.44 × 9,830.43
  4. Step 4: Simplify right side
    12,353.31x = 167,455,820.86
  5. Step 5: Solve for x
    x = 167,455,820.86/12,353.31
  6. Step 6: Final answer
    x = 13,555.54

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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.