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Finding the Fourth Proportional to 13,219.50, 18,242.91 and 7,331.50

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Solution

The fourth proportional to 13,219.50, 18,242.91 and 7,331.50 is: 10,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.50 : 18,242.91 = 7,331.50 : x
  2. Step 2: Convert to fraction form
    13,219.50/18,242.91 = 7,331.50/x
  3. Step 3: Cross multiply
    13,219.50x = 18,242.91 × 7,331.50
  4. Step 4: Simplify right side
    13,219.50x = 133,747,894.67
  5. Step 5: Solve for x
    x = 133,747,894.67/13,219.50
  6. Step 6: Final answer
    x = 10,117.47

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