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Finding the Fourth Proportional to 13,002.18, 19,503.24 and 5,216.46

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Solution

The fourth proportional to 13,002.18, 19,503.24 and 5,216.46 is: 7,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.18 : 19,503.24 = 5,216.46 : x
  2. Step 2: Convert to fraction form
    13,002.18/19,503.24 = 5,216.46/x
  3. Step 3: Cross multiply
    13,002.18x = 19,503.24 × 5,216.46
  4. Step 4: Simplify right side
    13,002.18x = 101,737,871.33
  5. Step 5: Solve for x
    x = 101,737,871.33/13,002.18
  6. Step 6: Final answer
    x = 7,824.68

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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.