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Finding the Fourth Proportional to 13,206.32, 18,224.85 and 7,237.85

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Solution

The fourth proportional to 13,206.32, 18,224.85 and 7,237.85 is: 9,988.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.32 : 18,224.85 = 7,237.85 : x
  2. Step 2: Convert to fraction form
    13,206.32/18,224.85 = 7,237.85/x
  3. Step 3: Cross multiply
    13,206.32x = 18,224.85 × 7,237.85
  4. Step 4: Simplify right side
    13,206.32x = 131,908,730.57
  5. Step 5: Solve for x
    x = 131,908,730.57/13,206.32
  6. Step 6: Final answer
    x = 9,988.31

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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.