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Finding the Fourth Proportional to 19,396.80, 29,071.68 and 13,820.16

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Solution

The fourth proportional to 19,396.80, 29,071.68 and 13,820.16 is: 20,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,396.80 : 29,071.68 = 13,820.16 : x
  2. Step 2: Convert to fraction form
    19,396.80/29,071.68 = 13,820.16/x
  3. Step 3: Cross multiply
    19,396.80x = 29,071.68 × 13,820.16
  4. Step 4: Simplify right side
    19,396.80x = 401,775,269.07
  5. Step 5: Solve for x
    x = 401,775,269.07/19,396.80
  6. Step 6: Final answer
    x = 20,713.48

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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.