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Finding the Fourth Proportional to 13,002.18, 19,503.81 and 4,237.17

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Solution

The fourth proportional to 13,002.18, 19,503.81 and 4,237.17 is: 6,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.18 : 19,503.81 = 4,237.17 : x
  2. Step 2: Convert to fraction form
    13,002.18/19,503.81 = 4,237.17/x
  3. Step 3: Cross multiply
    13,002.18x = 19,503.81 × 4,237.17
  4. Step 4: Simplify right side
    13,002.18x = 82,640,958.62
  5. Step 5: Solve for x
    x = 82,640,958.62/13,002.18
  6. Step 6: Final answer
    x = 6,355.93

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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.