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Finding the Fourth Proportional to 23,212.20, 32,041.98 and 15,663

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Solution

The fourth proportional to 23,212.20, 32,041.98 and 15,663 is: 21,621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.20 : 32,041.98 = 15,663 : x
  2. Step 2: Convert to fraction form
    23,212.20/32,041.98 = 15,663/x
  3. Step 3: Cross multiply
    23,212.20x = 32,041.98 × 15,663
  4. Step 4: Simplify right side
    23,212.20x = 501,873,532.74
  5. Step 5: Solve for x
    x = 501,873,532.74/23,212.20
  6. Step 6: Final answer
    x = 21,621.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.