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Finding the Fourth Proportional to 14,189.92, 19,582.08 and 8,225.05

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Solution

The fourth proportional to 14,189.92, 19,582.08 and 8,225.05 is: 11,350.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.92 : 19,582.08 = 8,225.05 : x
  2. Step 2: Convert to fraction form
    14,189.92/19,582.08 = 8,225.05/x
  3. Step 3: Cross multiply
    14,189.92x = 19,582.08 × 8,225.05
  4. Step 4: Simplify right side
    14,189.92x = 161,063,489.19
  5. Step 5: Solve for x
    x = 161,063,489.19/14,189.92
  6. Step 6: Final answer
    x = 11,350.56

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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.