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Finding the Fourth Proportional to 19,655.32, 29,477.77 and 13,414.21

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Solution

The fourth proportional to 19,655.32, 29,477.77 and 13,414.21 is: 20,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,655.32 : 29,477.77 = 13,414.21 : x
  2. Step 2: Convert to fraction form
    19,655.32/29,477.77 = 13,414.21/x
  3. Step 3: Cross multiply
    19,655.32x = 29,477.77 × 13,414.21
  4. Step 4: Simplify right side
    19,655.32x = 395,420,997.11
  5. Step 5: Solve for x
    x = 395,420,997.11/19,655.32
  6. Step 6: Final answer
    x = 20,117.76

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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.