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Finding the Fourth Proportional to 21,453.64, 32,180.04 and 11,612.20

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Solution

The fourth proportional to 21,453.64, 32,180.04 and 11,612.20 is: 17,418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,453.64 : 32,180.04 = 11,612.20 : x
  2. Step 2: Convert to fraction form
    21,453.64/32,180.04 = 11,612.20/x
  3. Step 3: Cross multiply
    21,453.64x = 32,180.04 × 11,612.20
  4. Step 4: Simplify right side
    21,453.64x = 373,681,060.49
  5. Step 5: Solve for x
    x = 373,681,060.49/21,453.64
  6. Step 6: Final answer
    x = 17,418.07

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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.