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Finding the Fourth Proportional to 14,338.42, 19,785 and 7,964.53

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Solution

The fourth proportional to 14,338.42, 19,785 and 7,964.53 is: 10,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.42 : 19,785 = 7,964.53 : x
  2. Step 2: Convert to fraction form
    14,338.42/19,785 = 7,964.53/x
  3. Step 3: Cross multiply
    14,338.42x = 19,785 × 7,964.53
  4. Step 4: Simplify right side
    14,338.42x = 157,578,226.05
  5. Step 5: Solve for x
    x = 157,578,226.05/14,338.42
  6. Step 6: Final answer
    x = 10,989.93

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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.