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Finding the Fourth Proportional to 14,123.18, 19,489.80 and 7,662.71

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Solution

The fourth proportional to 14,123.18, 19,489.80 and 7,662.71 is: 10,574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.18 : 19,489.80 = 7,662.71 : x
  2. Step 2: Convert to fraction form
    14,123.18/19,489.80 = 7,662.71/x
  3. Step 3: Cross multiply
    14,123.18x = 19,489.80 × 7,662.71
  4. Step 4: Simplify right side
    14,123.18x = 149,344,685.36
  5. Step 5: Solve for x
    x = 149,344,685.36/14,123.18
  6. Step 6: Final answer
    x = 10,574.44

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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.