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Finding the Fourth Proportional to 21,357.84, 32,034.33 and 5,774.25

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Solution

The fourth proportional to 21,357.84, 32,034.33 and 5,774.25 is: 8,660.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,357.84 : 32,034.33 = 5,774.25 : x
  2. Step 2: Convert to fraction form
    21,357.84/32,034.33 = 5,774.25/x
  3. Step 3: Cross multiply
    21,357.84x = 32,034.33 × 5,774.25
  4. Step 4: Simplify right side
    21,357.84x = 184,974,230.00
  5. Step 5: Solve for x
    x = 184,974,230.00/21,357.84
  6. Step 6: Final answer
    x = 8,660.72

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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.