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Finding the Fourth Proportional to 21,669.36, 32,481 and 9,196.08

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Solution

The fourth proportional to 21,669.36, 32,481 and 9,196.08 is: 13,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,669.36 : 32,481 = 9,196.08 : x
  2. Step 2: Convert to fraction form
    21,669.36/32,481 = 9,196.08/x
  3. Step 3: Cross multiply
    21,669.36x = 32,481 × 9,196.08
  4. Step 4: Simplify right side
    21,669.36x = 298,697,874.48
  5. Step 5: Solve for x
    x = 298,697,874.48/21,669.36
  6. Step 6: Final answer
    x = 13,784.34

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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.