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Finding the Fourth Proportional to 39,783, 59,661.76 and 13,123.02

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Solution

The fourth proportional to 39,783, 59,661.76 and 13,123.02 is: 19,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,783 : 59,661.76 = 13,123.02 : x
  2. Step 2: Convert to fraction form
    39,783/59,661.76 = 13,123.02/x
  3. Step 3: Cross multiply
    39,783x = 59,661.76 × 13,123.02
  4. Step 4: Simplify right side
    39,783x = 782,942,469.72
  5. Step 5: Solve for x
    x = 782,942,469.72/39,783
  6. Step 6: Final answer
    x = 19,680.33

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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.