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Finding the Fourth Proportional to 21,687.40, 32,523.32 and 9,208.28

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Solution

The fourth proportional to 21,687.40, 32,523.32 and 9,208.28 is: 13,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687.40 : 32,523.32 = 9,208.28 : x
  2. Step 2: Convert to fraction form
    21,687.40/32,523.32 = 9,208.28/x
  3. Step 3: Cross multiply
    21,687.40x = 32,523.32 × 9,208.28
  4. Step 4: Simplify right side
    21,687.40x = 299,483,837.09
  5. Step 5: Solve for x
    x = 299,483,837.09/21,687.40
  6. Step 6: Final answer
    x = 13,809.12

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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.