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Finding the Fourth Proportional to 21,847.98, 32,763.66 and 7,805.40

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Solution

The fourth proportional to 21,847.98, 32,763.66 and 7,805.40 is: 11,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847.98 : 32,763.66 = 7,805.40 : x
  2. Step 2: Convert to fraction form
    21,847.98/32,763.66 = 7,805.40/x
  3. Step 3: Cross multiply
    21,847.98x = 32,763.66 × 7,805.40
  4. Step 4: Simplify right side
    21,847.98x = 255,733,471.76
  5. Step 5: Solve for x
    x = 255,733,471.76/21,847.98
  6. Step 6: Final answer
    x = 11,705.13

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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.