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Finding the Fourth Proportional to 21,964.44, 32,948.01 and 8,815.11

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Solution

The fourth proportional to 21,964.44, 32,948.01 and 8,815.11 is: 13,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,964.44 : 32,948.01 = 8,815.11 : x
  2. Step 2: Convert to fraction form
    21,964.44/32,948.01 = 8,815.11/x
  3. Step 3: Cross multiply
    21,964.44x = 32,948.01 × 8,815.11
  4. Step 4: Simplify right side
    21,964.44x = 290,440,332.43
  5. Step 5: Solve for x
    x = 290,440,332.43/21,964.44
  6. Step 6: Final answer
    x = 13,223.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.