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Finding the Fourth Proportional to 16,553.84, 24,831.52 and 5,461.50

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Solution

The fourth proportional to 16,553.84, 24,831.52 and 5,461.50 is: 8,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553.84 : 24,831.52 = 5,461.50 : x
  2. Step 2: Convert to fraction form
    16,553.84/24,831.52 = 5,461.50/x
  3. Step 3: Cross multiply
    16,553.84x = 24,831.52 × 5,461.50
  4. Step 4: Simplify right side
    16,553.84x = 135,617,235.98
  5. Step 5: Solve for x
    x = 135,617,235.98/16,553.84
  6. Step 6: Final answer
    x = 8,192.50

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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.