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Finding the Fourth Proportional to 13,946.14, 20,913.07 and 6,552.70

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Solution

The fourth proportional to 13,946.14, 20,913.07 and 6,552.70 is: 9,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946.14 : 20,913.07 = 6,552.70 : x
  2. Step 2: Convert to fraction form
    13,946.14/20,913.07 = 6,552.70/x
  3. Step 3: Cross multiply
    13,946.14x = 20,913.07 × 6,552.70
  4. Step 4: Simplify right side
    13,946.14x = 137,037,073.79
  5. Step 5: Solve for x
    x = 137,037,073.79/13,946.14
  6. Step 6: Final answer
    x = 9,826.17

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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.