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Finding the Fourth Proportional to 16,024.84, 24,029.31 and 5,491.90

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Solution

The fourth proportional to 16,024.84, 24,029.31 and 5,491.90 is: 8,235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.84 : 24,029.31 = 5,491.90 : x
  2. Step 2: Convert to fraction form
    16,024.84/24,029.31 = 5,491.90/x
  3. Step 3: Cross multiply
    16,024.84x = 24,029.31 × 5,491.90
  4. Step 4: Simplify right side
    16,024.84x = 131,966,567.59
  5. Step 5: Solve for x
    x = 131,966,567.59/16,024.84
  6. Step 6: Final answer
    x = 8,235.13

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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.