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Finding the Fourth Proportional to 10,023.74, 13,826.31 and 6,881.66

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Solution

The fourth proportional to 10,023.74, 13,826.31 and 6,881.66 is: 9,492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.74 : 13,826.31 = 6,881.66 : x
  2. Step 2: Convert to fraction form
    10,023.74/13,826.31 = 6,881.66/x
  3. Step 3: Cross multiply
    10,023.74x = 13,826.31 × 6,881.66
  4. Step 4: Simplify right side
    10,023.74x = 95,147,964.47
  5. Step 5: Solve for x
    x = 95,147,964.47/10,023.74
  6. Step 6: Final answer
    x = 9,492.26

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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.