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Finding the Fourth Proportional to 16,342.66, 22,549.53 and 9,267.22

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Solution

The fourth proportional to 16,342.66, 22,549.53 and 9,267.22 is: 12,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.66 : 22,549.53 = 9,267.22 : x
  2. Step 2: Convert to fraction form
    16,342.66/22,549.53 = 9,267.22/x
  3. Step 3: Cross multiply
    16,342.66x = 22,549.53 × 9,267.22
  4. Step 4: Simplify right side
    16,342.66x = 208,971,455.41
  5. Step 5: Solve for x
    x = 208,971,455.41/16,342.66
  6. Step 6: Final answer
    x = 12,786.87

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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.