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Finding the Fourth Proportional to 10,268.01, 15,327.74 and 9,022.45

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Solution

The fourth proportional to 10,268.01, 15,327.74 and 9,022.45 is: 13,468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268.01 : 15,327.74 = 9,022.45 : x
  2. Step 2: Convert to fraction form
    10,268.01/15,327.74 = 9,022.45/x
  3. Step 3: Cross multiply
    10,268.01x = 15,327.74 × 9,022.45
  4. Step 4: Simplify right side
    10,268.01x = 138,293,767.76
  5. Step 5: Solve for x
    x = 138,293,767.76/10,268.01
  6. Step 6: Final answer
    x = 13,468.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.