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Finding the Fourth Proportional to 19,659.32, 29,483.78 and 13,418.20

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Solution

The fourth proportional to 19,659.32, 29,483.78 and 13,418.20 is: 20,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,659.32 : 29,483.78 = 13,418.20 : x
  2. Step 2: Convert to fraction form
    19,659.32/29,483.78 = 13,418.20/x
  3. Step 3: Cross multiply
    19,659.32x = 29,483.78 × 13,418.20
  4. Step 4: Simplify right side
    19,659.32x = 395,619,256.80
  5. Step 5: Solve for x
    x = 395,619,256.80/19,659.32
  6. Step 6: Final answer
    x = 20,123.75

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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.