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Finding the Fourth Proportional to 20,593.84, 31,043 and 19,389.80

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Solution

The fourth proportional to 20,593.84, 31,043 and 19,389.80 is: 29,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,593.84 : 31,043 = 19,389.80 : x
  2. Step 2: Convert to fraction form
    20,593.84/31,043 = 19,389.80/x
  3. Step 3: Cross multiply
    20,593.84x = 31,043 × 19,389.80
  4. Step 4: Simplify right side
    20,593.84x = 601,917,406.19
  5. Step 5: Solve for x
    x = 601,917,406.19/20,593.84
  6. Step 6: Final answer
    x = 29,228.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.