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Finding the Fourth Proportional to 16,537.77, 22,822.56 and 9,466.47

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Solution

The fourth proportional to 16,537.77, 22,822.56 and 9,466.47 is: 13,063.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.77 : 22,822.56 = 9,466.47 : x
  2. Step 2: Convert to fraction form
    16,537.77/22,822.56 = 9,466.47/x
  3. Step 3: Cross multiply
    16,537.77x = 22,822.56 × 9,466.47
  4. Step 4: Simplify right side
    16,537.77x = 216,049,079.56
  5. Step 5: Solve for x
    x = 216,049,079.56/16,537.77
  6. Step 6: Final answer
    x = 13,063.98

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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.