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Finding the Fourth Proportional to 16,002, 23,968.44 and 10,058.76

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Solution

The fourth proportional to 16,002, 23,968.44 and 10,058.76 is: 15,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002 : 23,968.44 = 10,058.76 : x
  2. Step 2: Convert to fraction form
    16,002/23,968.44 = 10,058.76/x
  3. Step 3: Cross multiply
    16,002x = 23,968.44 × 10,058.76
  4. Step 4: Simplify right side
    16,002x = 241,092,785.53
  5. Step 5: Solve for x
    x = 241,092,785.53/16,002
  6. Step 6: Final answer
    x = 15,066.42

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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.