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Finding the Fourth Proportional to 21,948.09, 32,922.06 and 8,809.69

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Solution

The fourth proportional to 21,948.09, 32,922.06 and 8,809.69 is: 13,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,948.09 : 32,922.06 = 8,809.69 : x
  2. Step 2: Convert to fraction form
    21,948.09/32,922.06 = 8,809.69/x
  3. Step 3: Cross multiply
    21,948.09x = 32,922.06 × 8,809.69
  4. Step 4: Simplify right side
    21,948.09x = 290,032,978.15
  5. Step 5: Solve for x
    x = 290,032,978.15/21,948.09
  6. Step 6: Final answer
    x = 13,214.50

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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.