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Finding the Fourth Proportional to 21,505.48, 32,232.30 and 9,802.60

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Solution

The fourth proportional to 21,505.48, 32,232.30 and 9,802.60 is: 14,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.48 : 32,232.30 = 9,802.60 : x
  2. Step 2: Convert to fraction form
    21,505.48/32,232.30 = 9,802.60/x
  3. Step 3: Cross multiply
    21,505.48x = 32,232.30 × 9,802.60
  4. Step 4: Simplify right side
    21,505.48x = 315,960,343.98
  5. Step 5: Solve for x
    x = 315,960,343.98/21,505.48
  6. Step 6: Final answer
    x = 14,692.09

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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.