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Finding the Fourth Proportional to 23,782.37, 32,841.90 and 15,299.24

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Solution

The fourth proportional to 23,782.37, 32,841.90 and 15,299.24 is: 21,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.37 : 32,841.90 = 15,299.24 : x
  2. Step 2: Convert to fraction form
    23,782.37/32,841.90 = 15,299.24/x
  3. Step 3: Cross multiply
    23,782.37x = 32,841.90 × 15,299.24
  4. Step 4: Simplify right side
    23,782.37x = 502,455,945.95
  5. Step 5: Solve for x
    x = 502,455,945.95/23,782.37
  6. Step 6: Final answer
    x = 21,127.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.