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Finding the Fourth Proportional to 14,982.49, 22,473.92 and 7,189.48

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Solution

The fourth proportional to 14,982.49, 22,473.92 and 7,189.48 is: 10,784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982.49 : 22,473.92 = 7,189.48 : x
  2. Step 2: Convert to fraction form
    14,982.49/22,473.92 = 7,189.48/x
  3. Step 3: Cross multiply
    14,982.49x = 22,473.92 × 7,189.48
  4. Step 4: Simplify right side
    14,982.49x = 161,575,798.36
  5. Step 5: Solve for x
    x = 161,575,798.36/14,982.49
  6. Step 6: Final answer
    x = 10,784.31

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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.