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Finding the Fourth Proportional to 24,658.50, 34,028.73 and 13,480.50

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Solution

The fourth proportional to 24,658.50, 34,028.73 and 13,480.50 is: 18,603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658.50 : 34,028.73 = 13,480.50 : x
  2. Step 2: Convert to fraction form
    24,658.50/34,028.73 = 13,480.50/x
  3. Step 3: Cross multiply
    24,658.50x = 34,028.73 × 13,480.50
  4. Step 4: Simplify right side
    24,658.50x = 458,724,294.77
  5. Step 5: Solve for x
    x = 458,724,294.77/24,658.50
  6. Step 6: Final answer
    x = 18,603.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.