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Finding the Fourth Proportional to 12,914.29, 17,821.32 and 7,248.89

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Solution

The fourth proportional to 12,914.29, 17,821.32 and 7,248.89 is: 10,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.29 : 17,821.32 = 7,248.89 : x
  2. Step 2: Convert to fraction form
    12,914.29/17,821.32 = 7,248.89/x
  3. Step 3: Cross multiply
    12,914.29x = 17,821.32 × 7,248.89
  4. Step 4: Simplify right side
    12,914.29x = 129,184,805.70
  5. Step 5: Solve for x
    x = 129,184,805.70/12,914.29
  6. Step 6: Final answer
    x = 10,003.25

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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.