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Finding the Fourth Proportional to 16,024.64, 23,994.97 and 10,462.37

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Solution

The fourth proportional to 16,024.64, 23,994.97 and 10,462.37 is: 15,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.64 : 23,994.97 = 10,462.37 : x
  2. Step 2: Convert to fraction form
    16,024.64/23,994.97 = 10,462.37/x
  3. Step 3: Cross multiply
    16,024.64x = 23,994.97 × 10,462.37
  4. Step 4: Simplify right side
    16,024.64x = 251,044,108.15
  5. Step 5: Solve for x
    x = 251,044,108.15/16,024.64
  6. Step 6: Final answer
    x = 15,666.14

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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.