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Finding the Fourth Proportional to 21,805.04, 32,708.25 and 7,764.84

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Solution

The fourth proportional to 21,805.04, 32,708.25 and 7,764.84 is: 11,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805.04 : 32,708.25 = 7,764.84 : x
  2. Step 2: Convert to fraction form
    21,805.04/32,708.25 = 7,764.84/x
  3. Step 3: Cross multiply
    21,805.04x = 32,708.25 × 7,764.84
  4. Step 4: Simplify right side
    21,805.04x = 253,974,327.93
  5. Step 5: Solve for x
    x = 253,974,327.93/21,805.04
  6. Step 6: Final answer
    x = 11,647.50

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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.