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Finding the Fourth Proportional to 13,018.84, 17,959.26 and 8,294.92

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Solution

The fourth proportional to 13,018.84, 17,959.26 and 8,294.92 is: 11,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,018.84 : 17,959.26 = 8,294.92 : x
  2. Step 2: Convert to fraction form
    13,018.84/17,959.26 = 8,294.92/x
  3. Step 3: Cross multiply
    13,018.84x = 17,959.26 × 8,294.92
  4. Step 4: Simplify right side
    13,018.84x = 148,970,624.96
  5. Step 5: Solve for x
    x = 148,970,624.96/13,018.84
  6. Step 6: Final answer
    x = 11,442.70

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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.