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Finding the Fourth Proportional to 19,974, 27,564.12 and 11,595.12

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Solution

The fourth proportional to 19,974, 27,564.12 and 11,595.12 is: 16,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974 : 27,564.12 = 11,595.12 : x
  2. Step 2: Convert to fraction form
    19,974/27,564.12 = 11,595.12/x
  3. Step 3: Cross multiply
    19,974x = 27,564.12 × 11,595.12
  4. Step 4: Simplify right side
    19,974x = 319,609,279.09
  5. Step 5: Solve for x
    x = 319,609,279.09/19,974
  6. Step 6: Final answer
    x = 16,001.27

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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.