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Finding the Fourth Proportional to 38,851.70, 58,263.26 and 13,885

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Solution

The fourth proportional to 38,851.70, 58,263.26 and 13,885 is: 20,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,851.70 : 58,263.26 = 13,885 : x
  2. Step 2: Convert to fraction form
    38,851.70/58,263.26 = 13,885/x
  3. Step 3: Cross multiply
    38,851.70x = 58,263.26 × 13,885
  4. Step 4: Simplify right side
    38,851.70x = 808,985,365.10
  5. Step 5: Solve for x
    x = 808,985,365.10/38,851.70
  6. Step 6: Final answer
    x = 20,822.39

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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.