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Finding the Fourth Proportional to 16,057.70, 24,074.52 and 4,957.88

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Solution

The fourth proportional to 16,057.70, 24,074.52 and 4,957.88 is: 7,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.70 : 24,074.52 = 4,957.88 : x
  2. Step 2: Convert to fraction form
    16,057.70/24,074.52 = 4,957.88/x
  3. Step 3: Cross multiply
    16,057.70x = 24,074.52 × 4,957.88
  4. Step 4: Simplify right side
    16,057.70x = 119,358,581.22
  5. Step 5: Solve for x
    x = 119,358,581.22/16,057.70
  6. Step 6: Final answer
    x = 7,433.11

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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.