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Finding the Fourth Proportional to 16,466.28, 22,715.64 and 11,988

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Solution

The fourth proportional to 16,466.28, 22,715.64 and 11,988 is: 16,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.28 : 22,715.64 = 11,988 : x
  2. Step 2: Convert to fraction form
    16,466.28/22,715.64 = 11,988/x
  3. Step 3: Cross multiply
    16,466.28x = 22,715.64 × 11,988
  4. Step 4: Simplify right side
    16,466.28x = 272,315,092.32
  5. Step 5: Solve for x
    x = 272,315,092.32/16,466.28
  6. Step 6: Final answer
    x = 16,537.74

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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.