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Finding the Fourth Proportional to 14,286.66, 19,715.64 and 7,913.43

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Solution

The fourth proportional to 14,286.66, 19,715.64 and 7,913.43 is: 10,920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.66 : 19,715.64 = 7,913.43 : x
  2. Step 2: Convert to fraction form
    14,286.66/19,715.64 = 7,913.43/x
  3. Step 3: Cross multiply
    14,286.66x = 19,715.64 × 7,913.43
  4. Step 4: Simplify right side
    14,286.66x = 156,018,337.05
  5. Step 5: Solve for x
    x = 156,018,337.05/14,286.66
  6. Step 6: Final answer
    x = 10,920.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.