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Finding the Fourth Proportional to 16,341.66, 22,548.15 and 9,266.22

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Solution

The fourth proportional to 16,341.66, 22,548.15 and 9,266.22 is: 12,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341.66 : 22,548.15 = 9,266.22 : x
  2. Step 2: Convert to fraction form
    16,341.66/22,548.15 = 9,266.22/x
  3. Step 3: Cross multiply
    16,341.66x = 22,548.15 × 9,266.22
  4. Step 4: Simplify right side
    16,341.66x = 208,936,118.49
  5. Step 5: Solve for x
    x = 208,936,118.49/16,341.66
  6. Step 6: Final answer
    x = 12,785.49

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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.