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Finding the Fourth Proportional to 16,148.74, 24,222.43 and 5,621.16

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Solution

The fourth proportional to 16,148.74, 24,222.43 and 5,621.16 is: 8,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.74 : 24,222.43 = 5,621.16 : x
  2. Step 2: Convert to fraction form
    16,148.74/24,222.43 = 5,621.16/x
  3. Step 3: Cross multiply
    16,148.74x = 24,222.43 × 5,621.16
  4. Step 4: Simplify right side
    16,148.74x = 136,158,154.62
  5. Step 5: Solve for x
    x = 136,158,154.62/16,148.74
  6. Step 6: Final answer
    x = 8,431.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.