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Finding the Fourth Proportional to 27,974.36, 38,600.10 and 16,035.50

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Solution

The fourth proportional to 27,974.36, 38,600.10 and 16,035.50 is: 22,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,974.36 : 38,600.10 = 16,035.50 : x
  2. Step 2: Convert to fraction form
    27,974.36/38,600.10 = 16,035.50/x
  3. Step 3: Cross multiply
    27,974.36x = 38,600.10 × 16,035.50
  4. Step 4: Simplify right side
    27,974.36x = 618,971,903.55
  5. Step 5: Solve for x
    x = 618,971,903.55/27,974.36
  6. Step 6: Final answer
    x = 22,126.40

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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.