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Finding the Fourth Proportional to 22,884.56, 31,580 and 13,459.44

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Solution

The fourth proportional to 22,884.56, 31,580 and 13,459.44 is: 18,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884.56 : 31,580 = 13,459.44 : x
  2. Step 2: Convert to fraction form
    22,884.56/31,580 = 13,459.44/x
  3. Step 3: Cross multiply
    22,884.56x = 31,580 × 13,459.44
  4. Step 4: Simplify right side
    22,884.56x = 425,049,115.20
  5. Step 5: Solve for x
    x = 425,049,115.20/22,884.56
  6. Step 6: Final answer
    x = 18,573.62

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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.