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Finding the Fourth Proportional to 20,313.93, 27,970.89 and 17,781.87

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Solution

The fourth proportional to 20,313.93, 27,970.89 and 17,781.87 is: 24,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313.93 : 27,970.89 = 17,781.87 : x
  2. Step 2: Convert to fraction form
    20,313.93/27,970.89 = 17,781.87/x
  3. Step 3: Cross multiply
    20,313.93x = 27,970.89 × 17,781.87
  4. Step 4: Simplify right side
    20,313.93x = 497,374,729.76
  5. Step 5: Solve for x
    x = 497,374,729.76/20,313.93
  6. Step 6: Final answer
    x = 24,484.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.