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Finding the Fourth Proportional to 22,140.98, 30,538.92 and 13,181.54

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Solution

The fourth proportional to 22,140.98, 30,538.92 and 13,181.54 is: 18,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,140.98 : 30,538.92 = 13,181.54 : x
  2. Step 2: Convert to fraction form
    22,140.98/30,538.92 = 13,181.54/x
  3. Step 3: Cross multiply
    22,140.98x = 30,538.92 × 13,181.54
  4. Step 4: Simplify right side
    22,140.98x = 402,549,995.54
  5. Step 5: Solve for x
    x = 402,549,995.54/22,140.98
  6. Step 6: Final answer
    x = 18,181.22

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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.