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Finding the Fourth Proportional to 16,539.93, 22,827.09 and 9,466.20

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Solution

The fourth proportional to 16,539.93, 22,827.09 and 9,466.20 is: 13,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.93 : 22,827.09 = 9,466.20 : x
  2. Step 2: Convert to fraction form
    16,539.93/22,827.09 = 9,466.20/x
  3. Step 3: Cross multiply
    16,539.93x = 22,827.09 × 9,466.20
  4. Step 4: Simplify right side
    16,539.93x = 216,085,799.36
  5. Step 5: Solve for x
    x = 216,085,799.36/16,539.93
  6. Step 6: Final answer
    x = 13,064.49

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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.