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Finding the Fourth Proportional to 13,193.17, 18,206.25 and 7,225.09

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Solution

The fourth proportional to 13,193.17, 18,206.25 and 7,225.09 is: 9,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.17 : 18,206.25 = 7,225.09 : x
  2. Step 2: Convert to fraction form
    13,193.17/18,206.25 = 7,225.09/x
  3. Step 3: Cross multiply
    13,193.17x = 18,206.25 × 7,225.09
  4. Step 4: Simplify right side
    13,193.17x = 131,541,794.81
  5. Step 5: Solve for x
    x = 131,541,794.81/13,193.17
  6. Step 6: Final answer
    x = 9,970.45

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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.