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Finding the Fourth Proportional to 23,277.50, 34,917.03 and 9,240.14

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Solution

The fourth proportional to 23,277.50, 34,917.03 and 9,240.14 is: 13,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,277.50 : 34,917.03 = 9,240.14 : x
  2. Step 2: Convert to fraction form
    23,277.50/34,917.03 = 9,240.14/x
  3. Step 3: Cross multiply
    23,277.50x = 34,917.03 × 9,240.14
  4. Step 4: Simplify right side
    23,277.50x = 322,638,245.58
  5. Step 5: Solve for x
    x = 322,638,245.58/23,277.50
  6. Step 6: Final answer
    x = 13,860.52

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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.