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Finding the Fourth Proportional to 13,194.92, 18,208.04 and 7,225.62

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Solution

The fourth proportional to 13,194.92, 18,208.04 and 7,225.62 is: 9,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.92 : 18,208.04 = 7,225.62 : x
  2. Step 2: Convert to fraction form
    13,194.92/18,208.04 = 7,225.62/x
  3. Step 3: Cross multiply
    13,194.92x = 18,208.04 × 7,225.62
  4. Step 4: Simplify right side
    13,194.92x = 131,564,341.86
  5. Step 5: Solve for x
    x = 131,564,341.86/13,194.92
  6. Step 6: Final answer
    x = 9,970.84

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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.