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Finding the Fourth Proportional to 17,822.94, 24,596.17 and 9,865.91

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Solution

The fourth proportional to 17,822.94, 24,596.17 and 9,865.91 is: 13,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.94 : 24,596.17 = 9,865.91 : x
  2. Step 2: Convert to fraction form
    17,822.94/24,596.17 = 9,865.91/x
  3. Step 3: Cross multiply
    17,822.94x = 24,596.17 × 9,865.91
  4. Step 4: Simplify right side
    17,822.94x = 242,663,599.56
  5. Step 5: Solve for x
    x = 242,663,599.56/17,822.94
  6. Step 6: Final answer
    x = 13,615.24

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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.