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Finding the Fourth Proportional to 16,594.76, 24,903.08 and 6,206.52

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Solution

The fourth proportional to 16,594.76, 24,903.08 and 6,206.52 is: 9,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.76 : 24,903.08 = 6,206.52 : x
  2. Step 2: Convert to fraction form
    16,594.76/24,903.08 = 6,206.52/x
  3. Step 3: Cross multiply
    16,594.76x = 24,903.08 × 6,206.52
  4. Step 4: Simplify right side
    16,594.76x = 154,561,464.08
  5. Step 5: Solve for x
    x = 154,561,464.08/16,594.76
  6. Step 6: Final answer
    x = 9,313.87

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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.