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Finding the Fourth Proportional to 24,530.96, 36,807.74 and 18,975.96

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Solution

The fourth proportional to 24,530.96, 36,807.74 and 18,975.96 is: 28,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,530.96 : 36,807.74 = 18,975.96 : x
  2. Step 2: Convert to fraction form
    24,530.96/36,807.74 = 18,975.96/x
  3. Step 3: Cross multiply
    24,530.96x = 36,807.74 × 18,975.96
  4. Step 4: Simplify right side
    24,530.96x = 698,462,201.93
  5. Step 5: Solve for x
    x = 698,462,201.93/24,530.96
  6. Step 6: Final answer
    x = 28,472.68

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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.