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Finding the Fourth Proportional to 13,205.81, 18,224.16 and 7,237.35

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Solution

The fourth proportional to 13,205.81, 18,224.16 and 7,237.35 is: 9,987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.81 : 18,224.16 = 7,237.35 : x
  2. Step 2: Convert to fraction form
    13,205.81/18,224.16 = 7,237.35/x
  3. Step 3: Cross multiply
    13,205.81x = 18,224.16 × 7,237.35
  4. Step 4: Simplify right side
    13,205.81x = 131,894,624.38
  5. Step 5: Solve for x
    x = 131,894,624.38/13,205.81
  6. Step 6: Final answer
    x = 9,987.62

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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.