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Finding the Fourth Proportional to 16,288.66, 24,433.02 and 5,897.98

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Solution

The fourth proportional to 16,288.66, 24,433.02 and 5,897.98 is: 8,846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.66 : 24,433.02 = 5,897.98 : x
  2. Step 2: Convert to fraction form
    16,288.66/24,433.02 = 5,897.98/x
  3. Step 3: Cross multiply
    16,288.66x = 24,433.02 × 5,897.98
  4. Step 4: Simplify right side
    16,288.66x = 144,105,463.30
  5. Step 5: Solve for x
    x = 144,105,463.30/16,288.66
  6. Step 6: Final answer
    x = 8,846.98

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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.