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Finding the Fourth Proportional to 21,503.28, 32,267.36 and 9,022.18

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Solution

The fourth proportional to 21,503.28, 32,267.36 and 9,022.18 is: 13,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,503.28 : 32,267.36 = 9,022.18 : x
  2. Step 2: Convert to fraction form
    21,503.28/32,267.36 = 9,022.18/x
  3. Step 3: Cross multiply
    21,503.28x = 32,267.36 × 9,022.18
  4. Step 4: Simplify right side
    21,503.28x = 291,121,930.04
  5. Step 5: Solve for x
    x = 291,121,930.04/21,503.28
  6. Step 6: Final answer
    x = 13,538.49

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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.