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Finding the Fourth Proportional to 16,246, 24,370.22 and 9,223.30

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Solution

The fourth proportional to 16,246, 24,370.22 and 9,223.30 is: 13,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,246 : 24,370.22 = 9,223.30 : x
  2. Step 2: Convert to fraction form
    16,246/24,370.22 = 9,223.30/x
  3. Step 3: Cross multiply
    16,246x = 24,370.22 × 9,223.30
  4. Step 4: Simplify right side
    16,246x = 224,773,850.13
  5. Step 5: Solve for x
    x = 224,773,850.13/16,246
  6. Step 6: Final answer
    x = 13,835.64

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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.