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Finding the Fourth Proportional to 13,719.88, 20,580.78 and 3,859.12

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Solution

The fourth proportional to 13,719.88, 20,580.78 and 3,859.12 is: 5,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719.88 : 20,580.78 = 3,859.12 : x
  2. Step 2: Convert to fraction form
    13,719.88/20,580.78 = 3,859.12/x
  3. Step 3: Cross multiply
    13,719.88x = 20,580.78 × 3,859.12
  4. Step 4: Simplify right side
    13,719.88x = 79,423,699.71
  5. Step 5: Solve for x
    x = 79,423,699.71/13,719.88
  6. Step 6: Final answer
    x = 5,788.95

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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.