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Finding the Fourth Proportional to 23,142.50, 34,715.37 and 9,291.50

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Solution

The fourth proportional to 23,142.50, 34,715.37 and 9,291.50 is: 13,937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.50 : 34,715.37 = 9,291.50 : x
  2. Step 2: Convert to fraction form
    23,142.50/34,715.37 = 9,291.50/x
  3. Step 3: Cross multiply
    23,142.50x = 34,715.37 × 9,291.50
  4. Step 4: Simplify right side
    23,142.50x = 322,557,860.36
  5. Step 5: Solve for x
    x = 322,557,860.36/23,142.50
  6. Step 6: Final answer
    x = 13,937.90

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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.