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Finding the Fourth Proportional to 19,657.32, 29,480.77 and 13,416.21

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Solution

The fourth proportional to 19,657.32, 29,480.77 and 13,416.21 is: 20,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.32 : 29,480.77 = 13,416.21 : x
  2. Step 2: Convert to fraction form
    19,657.32/29,480.77 = 13,416.21/x
  3. Step 3: Cross multiply
    19,657.32x = 29,480.77 × 13,416.21
  4. Step 4: Simplify right side
    19,657.32x = 395,520,201.28
  5. Step 5: Solve for x
    x = 395,520,201.28/19,657.32
  6. Step 6: Final answer
    x = 20,120.76

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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.