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Finding the Fourth Proportional to 13,859.02, 20,788.80 and 3,470.50

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Solution

The fourth proportional to 13,859.02, 20,788.80 and 3,470.50 is: 5,205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.02 : 20,788.80 = 3,470.50 : x
  2. Step 2: Convert to fraction form
    13,859.02/20,788.80 = 3,470.50/x
  3. Step 3: Cross multiply
    13,859.02x = 20,788.80 × 3,470.50
  4. Step 4: Simplify right side
    13,859.02x = 72,147,530.40
  5. Step 5: Solve for x
    x = 72,147,530.40/13,859.02
  6. Step 6: Final answer
    x = 5,205.82

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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.