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Finding the Fourth Proportional to 16,024.86, 24,040.71 and 5,492.06

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Solution

The fourth proportional to 16,024.86, 24,040.71 and 5,492.06 is: 8,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.86 : 24,040.71 = 5,492.06 : x
  2. Step 2: Convert to fraction form
    16,024.86/24,040.71 = 5,492.06/x
  3. Step 3: Cross multiply
    16,024.86x = 24,040.71 × 5,492.06
  4. Step 4: Simplify right side
    16,024.86x = 132,032,901.56
  5. Step 5: Solve for x
    x = 132,032,901.56/16,024.86
  6. Step 6: Final answer
    x = 8,239.25

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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.