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Finding the Fourth Proportional to 21,619.50, 32,429.52 and 7,768.50

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Solution

The fourth proportional to 21,619.50, 32,429.52 and 7,768.50 is: 11,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,619.50 : 32,429.52 = 7,768.50 : x
  2. Step 2: Convert to fraction form
    21,619.50/32,429.52 = 7,768.50/x
  3. Step 3: Cross multiply
    21,619.50x = 32,429.52 × 7,768.50
  4. Step 4: Simplify right side
    21,619.50x = 251,928,726.12
  5. Step 5: Solve for x
    x = 251,928,726.12/21,619.50
  6. Step 6: Final answer
    x = 11,652.85

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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.