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Finding the Fourth Proportional to 21,806.04, 32,709.75 and 7,765.84

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Solution

The fourth proportional to 21,806.04, 32,709.75 and 7,765.84 is: 11,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.04 : 32,709.75 = 7,765.84 : x
  2. Step 2: Convert to fraction form
    21,806.04/32,709.75 = 7,765.84/x
  3. Step 3: Cross multiply
    21,806.04x = 32,709.75 × 7,765.84
  4. Step 4: Simplify right side
    21,806.04x = 254,018,684.94
  5. Step 5: Solve for x
    x = 254,018,684.94/21,806.04
  6. Step 6: Final answer
    x = 11,649.01

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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.