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Finding the Fourth Proportional to 13,194.52, 18,207.66 and 7,225

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Solution

The fourth proportional to 13,194.52, 18,207.66 and 7,225 is: 9,970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.52 : 18,207.66 = 7,225 : x
  2. Step 2: Convert to fraction form
    13,194.52/18,207.66 = 7,225/x
  3. Step 3: Cross multiply
    13,194.52x = 18,207.66 × 7,225
  4. Step 4: Simplify right side
    13,194.52x = 131,550,343.50
  5. Step 5: Solve for x
    x = 131,550,343.50/13,194.52
  6. Step 6: Final answer
    x = 9,970.07

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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.