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Finding the Fourth Proportional to 16,427.16, 24,658.28 and 7,071.81

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Solution

The fourth proportional to 16,427.16, 24,658.28 and 7,071.81 is: 10,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.16 : 24,658.28 = 7,071.81 : x
  2. Step 2: Convert to fraction form
    16,427.16/24,658.28 = 7,071.81/x
  3. Step 3: Cross multiply
    16,427.16x = 24,658.28 × 7,071.81
  4. Step 4: Simplify right side
    16,427.16x = 174,378,635.73
  5. Step 5: Solve for x
    x = 174,378,635.73/16,427.16
  6. Step 6: Final answer
    x = 10,615.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.