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Finding the Fourth Proportional to 19,473.34, 29,189.15 and 13,909.81

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Solution

The fourth proportional to 19,473.34, 29,189.15 and 13,909.81 is: 20,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,473.34 : 29,189.15 = 13,909.81 : x
  2. Step 2: Convert to fraction form
    19,473.34/29,189.15 = 13,909.81/x
  3. Step 3: Cross multiply
    19,473.34x = 29,189.15 × 13,909.81
  4. Step 4: Simplify right side
    19,473.34x = 406,015,388.04
  5. Step 5: Solve for x
    x = 406,015,388.04/19,473.34
  6. Step 6: Final answer
    x = 20,849.81

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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.