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Finding the Fourth Proportional to 16,263.46, 24,403.38 and 6,409.81

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Solution

The fourth proportional to 16,263.46, 24,403.38 and 6,409.81 is: 9,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,263.46 : 24,403.38 = 6,409.81 : x
  2. Step 2: Convert to fraction form
    16,263.46/24,403.38 = 6,409.81/x
  3. Step 3: Cross multiply
    16,263.46x = 24,403.38 × 6,409.81
  4. Step 4: Simplify right side
    16,263.46x = 156,421,029.16
  5. Step 5: Solve for x
    x = 156,421,029.16/16,263.46
  6. Step 6: Final answer
    x = 9,617.94

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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.