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Finding the Fourth Proportional to 24,889.68, 37,335 and 7,359.48

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Solution

The fourth proportional to 24,889.68, 37,335 and 7,359.48 is: 11,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,889.68 : 37,335 = 7,359.48 : x
  2. Step 2: Convert to fraction form
    24,889.68/37,335 = 7,359.48/x
  3. Step 3: Cross multiply
    24,889.68x = 37,335 × 7,359.48
  4. Step 4: Simplify right side
    24,889.68x = 274,766,185.80
  5. Step 5: Solve for x
    x = 274,766,185.80/24,889.68
  6. Step 6: Final answer
    x = 11,039.36

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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.