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Finding the Fourth Proportional to 10,874.34, 14,894.15 and 10,236.02

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Solution

The fourth proportional to 10,874.34, 14,894.15 and 10,236.02 is: 14,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.34 : 14,894.15 = 10,236.02 : x
  2. Step 2: Convert to fraction form
    10,874.34/14,894.15 = 10,236.02/x
  3. Step 3: Cross multiply
    10,874.34x = 14,894.15 × 10,236.02
  4. Step 4: Simplify right side
    10,874.34x = 152,456,691.63
  5. Step 5: Solve for x
    x = 152,456,691.63/10,874.34
  6. Step 6: Final answer
    x = 14,019.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.