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Finding the Fourth Proportional to 24,904.17, 37,356.29 and 8,259.82

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Solution

The fourth proportional to 24,904.17, 37,356.29 and 8,259.82 is: 12,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,904.17 : 37,356.29 = 8,259.82 : x
  2. Step 2: Convert to fraction form
    24,904.17/37,356.29 = 8,259.82/x
  3. Step 3: Cross multiply
    24,904.17x = 37,356.29 × 8,259.82
  4. Step 4: Simplify right side
    24,904.17x = 308,556,231.27
  5. Step 5: Solve for x
    x = 308,556,231.27/24,904.17
  6. Step 6: Final answer
    x = 12,389.74

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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.