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Finding the Fourth Proportional to 12,409.24, 17,124.92 and 6,744.10

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Solution

The fourth proportional to 12,409.24, 17,124.92 and 6,744.10 is: 9,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.24 : 17,124.92 = 6,744.10 : x
  2. Step 2: Convert to fraction form
    12,409.24/17,124.92 = 6,744.10/x
  3. Step 3: Cross multiply
    12,409.24x = 17,124.92 × 6,744.10
  4. Step 4: Simplify right side
    12,409.24x = 115,492,053.63
  5. Step 5: Solve for x
    x = 115,492,053.63/12,409.24
  6. Step 6: Final answer
    x = 9,306.94

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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.