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Finding the Fourth Proportional to 13,859.84, 20,800.70 and 6,460.49

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Solution

The fourth proportional to 13,859.84, 20,800.70 and 6,460.49 is: 9,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.84 : 20,800.70 = 6,460.49 : x
  2. Step 2: Convert to fraction form
    13,859.84/20,800.70 = 6,460.49/x
  3. Step 3: Cross multiply
    13,859.84x = 20,800.70 × 6,460.49
  4. Step 4: Simplify right side
    13,859.84x = 134,382,758.27
  5. Step 5: Solve for x
    x = 134,382,758.27/13,859.84
  6. Step 6: Final answer
    x = 9,695.84

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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.