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Finding the Fourth Proportional to 13,966.68, 20,946.78 and 5,205.72

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Solution

The fourth proportional to 13,966.68, 20,946.78 and 5,205.72 is: 7,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966.68 : 20,946.78 = 5,205.72 : x
  2. Step 2: Convert to fraction form
    13,966.68/20,946.78 = 5,205.72/x
  3. Step 3: Cross multiply
    13,966.68x = 20,946.78 × 5,205.72
  4. Step 4: Simplify right side
    13,966.68x = 109,043,071.58
  5. Step 5: Solve for x
    x = 109,043,071.58/13,966.68
  6. Step 6: Final answer
    x = 7,807.37

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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.