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Finding the Fourth Proportional to 17,549.40, 24,219.34 and 9,894.56

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Solution

The fourth proportional to 17,549.40, 24,219.34 and 9,894.56 is: 13,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,549.40 : 24,219.34 = 9,894.56 : x
  2. Step 2: Convert to fraction form
    17,549.40/24,219.34 = 9,894.56/x
  3. Step 3: Cross multiply
    17,549.40x = 24,219.34 × 9,894.56
  4. Step 4: Simplify right side
    17,549.40x = 239,639,712.79
  5. Step 5: Solve for x
    x = 239,639,712.79/17,549.40
  6. Step 6: Final answer
    x = 13,655.15

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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.