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Finding the Fourth Proportional to 24,774.77, 37,148.22 and 8,133.41

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Solution

The fourth proportional to 24,774.77, 37,148.22 and 8,133.41 is: 12,195.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774.77 : 37,148.22 = 8,133.41 : x
  2. Step 2: Convert to fraction form
    24,774.77/37,148.22 = 8,133.41/x
  3. Step 3: Cross multiply
    24,774.77x = 37,148.22 × 8,133.41
  4. Step 4: Simplify right side
    24,774.77x = 302,141,518.29
  5. Step 5: Solve for x
    x = 302,141,518.29/24,774.77
  6. Step 6: Final answer
    x = 12,195.53

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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.