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Finding the Fourth Proportional to 16,024.42, 24,036.63 and 9,142.66

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Solution

The fourth proportional to 16,024.42, 24,036.63 and 9,142.66 is: 13,713.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.42 : 24,036.63 = 9,142.66 : x
  2. Step 2: Convert to fraction form
    16,024.42/24,036.63 = 9,142.66/x
  3. Step 3: Cross multiply
    16,024.42x = 24,036.63 × 9,142.66
  4. Step 4: Simplify right side
    16,024.42x = 219,758,735.64
  5. Step 5: Solve for x
    x = 219,758,735.64/16,024.42
  6. Step 6: Final answer
    x = 13,713.99

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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.