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Finding the Fourth Proportional to 16,600, 24,903.12 and 7,366.24

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Solution

The fourth proportional to 16,600, 24,903.12 and 7,366.24 is: 11,050.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,600 : 24,903.12 = 7,366.24 : x
  2. Step 2: Convert to fraction form
    16,600/24,903.12 = 7,366.24/x
  3. Step 3: Cross multiply
    16,600x = 24,903.12 × 7,366.24
  4. Step 4: Simplify right side
    16,600x = 183,442,358.67
  5. Step 5: Solve for x
    x = 183,442,358.67/16,600
  6. Step 6: Final answer
    x = 11,050.74

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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.