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Finding the Fourth Proportional to 21,327.39, 31,994.84 and 7,284.13

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Solution

The fourth proportional to 21,327.39, 31,994.84 and 7,284.13 is: 10,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,327.39 : 31,994.84 = 7,284.13 : x
  2. Step 2: Convert to fraction form
    21,327.39/31,994.84 = 7,284.13/x
  3. Step 3: Cross multiply
    21,327.39x = 31,994.84 × 7,284.13
  4. Step 4: Simplify right side
    21,327.39x = 233,054,512.11
  5. Step 5: Solve for x
    x = 233,054,512.11/21,327.39
  6. Step 6: Final answer
    x = 10,927.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.