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Finding the Fourth Proportional to 21,505.80, 32,256.28 and 7,463.24

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Solution

The fourth proportional to 21,505.80, 32,256.28 and 7,463.24 is: 11,194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.80 : 32,256.28 = 7,463.24 : x
  2. Step 2: Convert to fraction form
    21,505.80/32,256.28 = 7,463.24/x
  3. Step 3: Cross multiply
    21,505.80x = 32,256.28 × 7,463.24
  4. Step 4: Simplify right side
    21,505.80x = 240,736,359.15
  5. Step 5: Solve for x
    x = 240,736,359.15/21,505.80
  6. Step 6: Final answer
    x = 11,194.02

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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.