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Finding the Fourth Proportional to 13,934.40, 20,885.88 and 6,919.42

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Solution

The fourth proportional to 13,934.40, 20,885.88 and 6,919.42 is: 10,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.40 : 20,885.88 = 6,919.42 : x
  2. Step 2: Convert to fraction form
    13,934.40/20,885.88 = 6,919.42/x
  3. Step 3: Cross multiply
    13,934.40x = 20,885.88 × 6,919.42
  4. Step 4: Simplify right side
    13,934.40x = 144,518,141.19
  5. Step 5: Solve for x
    x = 144,518,141.19/13,934.40
  6. Step 6: Final answer
    x = 10,371.32

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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.