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Finding the Fourth Proportional to 16,538.11, 22,823 and 9,466.81

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Solution

The fourth proportional to 16,538.11, 22,823 and 9,466.81 is: 13,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.11 : 22,823 = 9,466.81 : x
  2. Step 2: Convert to fraction form
    16,538.11/22,823 = 9,466.81/x
  3. Step 3: Cross multiply
    16,538.11x = 22,823 × 9,466.81
  4. Step 4: Simplify right side
    16,538.11x = 216,061,004.63
  5. Step 5: Solve for x
    x = 216,061,004.63/16,538.11
  6. Step 6: Final answer
    x = 13,064.43

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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.