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Finding the Fourth Proportional to 24,928.86, 37,367.04 and 8,284.42

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Solution

The fourth proportional to 24,928.86, 37,367.04 and 8,284.42 is: 12,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,928.86 : 37,367.04 = 8,284.42 : x
  2. Step 2: Convert to fraction form
    24,928.86/37,367.04 = 8,284.42/x
  3. Step 3: Cross multiply
    24,928.86x = 37,367.04 × 8,284.42
  4. Step 4: Simplify right side
    24,928.86x = 309,564,253.52
  5. Step 5: Solve for x
    x = 309,564,253.52/24,928.86
  6. Step 6: Final answer
    x = 12,417.91

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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.