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Finding the Fourth Proportional to 19,924.12, 27,488.10 and 13,213

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Solution

The fourth proportional to 19,924.12, 27,488.10 and 13,213 is: 18,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,924.12 : 27,488.10 = 13,213 : x
  2. Step 2: Convert to fraction form
    19,924.12/27,488.10 = 13,213/x
  3. Step 3: Cross multiply
    19,924.12x = 27,488.10 × 13,213
  4. Step 4: Simplify right side
    19,924.12x = 363,200,265.30
  5. Step 5: Solve for x
    x = 363,200,265.30/19,924.12
  6. Step 6: Final answer
    x = 18,229.17

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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.