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Finding the Fourth Proportional to 13,123, 19,678.02 and 4,801.87

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Solution

The fourth proportional to 13,123, 19,678.02 and 4,801.87 is: 7,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123 : 19,678.02 = 4,801.87 : x
  2. Step 2: Convert to fraction form
    13,123/19,678.02 = 4,801.87/x
  3. Step 3: Cross multiply
    13,123x = 19,678.02 × 4,801.87
  4. Step 4: Simplify right side
    13,123x = 94,491,293.90
  5. Step 5: Solve for x
    x = 94,491,293.90/13,123
  6. Step 6: Final answer
    x = 7,200.43

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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.