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Finding the Fourth Proportional to 13,194.09, 18,207.65 and 7,225.74

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Solution

The fourth proportional to 13,194.09, 18,207.65 and 7,225.74 is: 9,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.09 : 18,207.65 = 7,225.74 : x
  2. Step 2: Convert to fraction form
    13,194.09/18,207.65 = 7,225.74/x
  3. Step 3: Cross multiply
    13,194.09x = 18,207.65 × 7,225.74
  4. Step 4: Simplify right side
    13,194.09x = 131,563,762.98
  5. Step 5: Solve for x
    x = 131,563,762.98/13,194.09
  6. Step 6: Final answer
    x = 9,971.42

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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.