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Finding the Fourth Proportional to 15,633, 23,455.26 and 8,237.16

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Solution

The fourth proportional to 15,633, 23,455.26 and 8,237.16 is: 12,358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633 : 23,455.26 = 8,237.16 : x
  2. Step 2: Convert to fraction form
    15,633/23,455.26 = 8,237.16/x
  3. Step 3: Cross multiply
    15,633x = 23,455.26 × 8,237.16
  4. Step 4: Simplify right side
    15,633x = 193,204,729.46
  5. Step 5: Solve for x
    x = 193,204,729.46/15,633
  6. Step 6: Final answer
    x = 12,358.77

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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.