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Finding the Fourth Proportional to 24,829.59, 37,236.48 and 8,186.52

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Solution

The fourth proportional to 24,829.59, 37,236.48 and 8,186.52 is: 12,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829.59 : 37,236.48 = 8,186.52 : x
  2. Step 2: Convert to fraction form
    24,829.59/37,236.48 = 8,186.52/x
  3. Step 3: Cross multiply
    24,829.59x = 37,236.48 × 8,186.52
  4. Step 4: Simplify right side
    24,829.59x = 304,837,188.25
  5. Step 5: Solve for x
    x = 304,837,188.25/24,829.59
  6. Step 6: Final answer
    x = 12,277.17

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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.