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Finding the Fourth Proportional to 13,885.76, 20,823.70 and 4,023

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Solution

The fourth proportional to 13,885.76, 20,823.70 and 4,023 is: 6,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.76 : 20,823.70 = 4,023 : x
  2. Step 2: Convert to fraction form
    13,885.76/20,823.70 = 4,023/x
  3. Step 3: Cross multiply
    13,885.76x = 20,823.70 × 4,023
  4. Step 4: Simplify right side
    13,885.76x = 83,773,745.10
  5. Step 5: Solve for x
    x = 83,773,745.10/13,885.76
  6. Step 6: Final answer
    x = 6,033.07

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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.