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Finding the Fourth Proportional to 39,423.41, 59,122.81 and 13,122

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Solution

The fourth proportional to 39,423.41, 59,122.81 and 13,122 is: 19,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,423.41 : 59,122.81 = 13,122 : x
  2. Step 2: Convert to fraction form
    39,423.41/59,122.81 = 13,122/x
  3. Step 3: Cross multiply
    39,423.41x = 59,122.81 × 13,122
  4. Step 4: Simplify right side
    39,423.41x = 775,809,529.22
  5. Step 5: Solve for x
    x = 775,809,529.22/39,423.41
  6. Step 6: Final answer
    x = 19,678.91

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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.