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Finding the Fourth Proportional to 21,619.50, 32,429.26 and 5,203.50

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Solution

The fourth proportional to 21,619.50, 32,429.26 and 5,203.50 is: 7,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,619.50 : 32,429.26 = 5,203.50 : x
  2. Step 2: Convert to fraction form
    21,619.50/32,429.26 = 5,203.50/x
  3. Step 3: Cross multiply
    21,619.50x = 32,429.26 × 5,203.50
  4. Step 4: Simplify right side
    21,619.50x = 168,745,654.41
  5. Step 5: Solve for x
    x = 168,745,654.41/21,619.50
  6. Step 6: Final answer
    x = 7,805.25

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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.