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Finding the Fourth Proportional to 15,174.08, 22,769.76 and 9,982.40

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Solution

The fourth proportional to 15,174.08, 22,769.76 and 9,982.40 is: 14,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174.08 : 22,769.76 = 9,982.40 : x
  2. Step 2: Convert to fraction form
    15,174.08/22,769.76 = 9,982.40/x
  3. Step 3: Cross multiply
    15,174.08x = 22,769.76 × 9,982.40
  4. Step 4: Simplify right side
    15,174.08x = 227,296,852.22
  5. Step 5: Solve for x
    x = 227,296,852.22/15,174.08
  6. Step 6: Final answer
    x = 14,979.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.