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Finding the Fourth Proportional to 23,027.40, 34,536 and 8,237.32

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Solution

The fourth proportional to 23,027.40, 34,536 and 8,237.32 is: 12,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,027.40 : 34,536 = 8,237.32 : x
  2. Step 2: Convert to fraction form
    23,027.40/34,536 = 8,237.32/x
  3. Step 3: Cross multiply
    23,027.40x = 34,536 × 8,237.32
  4. Step 4: Simplify right side
    23,027.40x = 284,484,083.52
  5. Step 5: Solve for x
    x = 284,484,083.52/23,027.40
  6. Step 6: Final answer
    x = 12,354.16

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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.