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Finding the Fourth Proportional to 22,765.08, 31,419.96 and 13,211.08

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Solution

The fourth proportional to 22,765.08, 31,419.96 and 13,211.08 is: 18,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.08 : 31,419.96 = 13,211.08 : x
  2. Step 2: Convert to fraction form
    22,765.08/31,419.96 = 13,211.08/x
  3. Step 3: Cross multiply
    22,765.08x = 31,419.96 × 13,211.08
  4. Step 4: Simplify right side
    22,765.08x = 415,091,605.16
  5. Step 5: Solve for x
    x = 415,091,605.16/22,765.08
  6. Step 6: Final answer
    x = 18,233.70

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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.