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Finding the Fourth Proportional to 16,497.75, 22,768.10 and 9,424.02

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Solution

The fourth proportional to 16,497.75, 22,768.10 and 9,424.02 is: 13,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.75 : 22,768.10 = 9,424.02 : x
  2. Step 2: Convert to fraction form
    16,497.75/22,768.10 = 9,424.02/x
  3. Step 3: Cross multiply
    16,497.75x = 22,768.10 × 9,424.02
  4. Step 4: Simplify right side
    16,497.75x = 214,567,029.76
  5. Step 5: Solve for x
    x = 214,567,029.76/16,497.75
  6. Step 6: Final answer
    x = 13,005.84

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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.