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Finding the Fourth Proportional to 16,423.32, 24,632.90 and 4,578

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Solution

The fourth proportional to 16,423.32, 24,632.90 and 4,578 is: 6,866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.32 : 24,632.90 = 4,578 : x
  2. Step 2: Convert to fraction form
    16,423.32/24,632.90 = 4,578/x
  3. Step 3: Cross multiply
    16,423.32x = 24,632.90 × 4,578
  4. Step 4: Simplify right side
    16,423.32x = 112,769,416.20
  5. Step 5: Solve for x
    x = 112,769,416.20/16,423.32
  6. Step 6: Final answer
    x = 6,866.42

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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.