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Finding the Fourth Proportional to 16,095, 24,138.78 and 4,409.16

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Solution

The fourth proportional to 16,095, 24,138.78 and 4,409.16 is: 6,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,095 : 24,138.78 = 4,409.16 : x
  2. Step 2: Convert to fraction form
    16,095/24,138.78 = 4,409.16/x
  3. Step 3: Cross multiply
    16,095x = 24,138.78 × 4,409.16
  4. Step 4: Simplify right side
    16,095x = 106,431,743.22
  5. Step 5: Solve for x
    x = 106,431,743.22/16,095
  6. Step 6: Final answer
    x = 6,612.72

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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.