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Finding the Fourth Proportional to 16,323.70, 24,484.52 and 9,744.93

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Solution

The fourth proportional to 16,323.70, 24,484.52 and 9,744.93 is: 14,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,323.70 : 24,484.52 = 9,744.93 : x
  2. Step 2: Convert to fraction form
    16,323.70/24,484.52 = 9,744.93/x
  3. Step 3: Cross multiply
    16,323.70x = 24,484.52 × 9,744.93
  4. Step 4: Simplify right side
    16,323.70x = 238,599,957.85
  5. Step 5: Solve for x
    x = 238,599,957.85/16,323.70
  6. Step 6: Final answer
    x = 14,616.78

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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.