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Finding the Fourth Proportional to 14,642.57, 20,196.34 and 10,106.98

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Solution

The fourth proportional to 14,642.57, 20,196.34 and 10,106.98 is: 13,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.57 : 20,196.34 = 10,106.98 : x
  2. Step 2: Convert to fraction form
    14,642.57/20,196.34 = 10,106.98/x
  3. Step 3: Cross multiply
    14,642.57x = 20,196.34 × 10,106.98
  4. Step 4: Simplify right side
    14,642.57x = 204,123,928.69
  5. Step 5: Solve for x
    x = 204,123,928.69/14,642.57
  6. Step 6: Final answer
    x = 13,940.44

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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.