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Finding the Fourth Proportional to 21,943.01, 32,917.93 and 7,148.49

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Solution

The fourth proportional to 21,943.01, 32,917.93 and 7,148.49 is: 10,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,943.01 : 32,917.93 = 7,148.49 : x
  2. Step 2: Convert to fraction form
    21,943.01/32,917.93 = 7,148.49/x
  3. Step 3: Cross multiply
    21,943.01x = 32,917.93 × 7,148.49
  4. Step 4: Simplify right side
    21,943.01x = 235,313,392.32
  5. Step 5: Solve for x
    x = 235,313,392.32/21,943.01
  6. Step 6: Final answer
    x = 10,723.84

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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.