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Finding the Fourth Proportional to 13,970.19, 20,964.70 and 5,205.11

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Solution

The fourth proportional to 13,970.19, 20,964.70 and 5,205.11 is: 7,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.19 : 20,964.70 = 5,205.11 : x
  2. Step 2: Convert to fraction form
    13,970.19/20,964.70 = 5,205.11/x
  3. Step 3: Cross multiply
    13,970.19x = 20,964.70 × 5,205.11
  4. Step 4: Simplify right side
    13,970.19x = 109,123,471.30
  5. Step 5: Solve for x
    x = 109,123,471.30/13,970.19
  6. Step 6: Final answer
    x = 7,811.16

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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.