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Finding the Fourth Proportional to 13,431.29, 18,530.88 and 7,765.30

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Solution

The fourth proportional to 13,431.29, 18,530.88 and 7,765.30 is: 10,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.29 : 18,530.88 = 7,765.30 : x
  2. Step 2: Convert to fraction form
    13,431.29/18,530.88 = 7,765.30/x
  3. Step 3: Cross multiply
    13,431.29x = 18,530.88 × 7,765.30
  4. Step 4: Simplify right side
    13,431.29x = 143,897,767.02
  5. Step 5: Solve for x
    x = 143,897,767.02/13,431.29
  6. Step 6: Final answer
    x = 10,713.62

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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.