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Finding the Fourth Proportional to 16,539.72, 22,822.08 and 9,466.14

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Solution

The fourth proportional to 16,539.72, 22,822.08 and 9,466.14 is: 13,061.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.72 : 22,822.08 = 9,466.14 : x
  2. Step 2: Convert to fraction form
    16,539.72/22,822.08 = 9,466.14/x
  3. Step 3: Cross multiply
    16,539.72x = 22,822.08 × 9,466.14
  4. Step 4: Simplify right side
    16,539.72x = 216,037,004.37
  5. Step 5: Solve for x
    x = 216,037,004.37/16,539.72
  6. Step 6: Final answer
    x = 13,061.71

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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.