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Finding the Fourth Proportional to 24,752.36, 37,130.22 and 8,108

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Solution

The fourth proportional to 24,752.36, 37,130.22 and 8,108 is: 12,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,752.36 : 37,130.22 = 8,108 : x
  2. Step 2: Convert to fraction form
    24,752.36/37,130.22 = 8,108/x
  3. Step 3: Cross multiply
    24,752.36x = 37,130.22 × 8,108
  4. Step 4: Simplify right side
    24,752.36x = 301,051,823.76
  5. Step 5: Solve for x
    x = 301,051,823.76/24,752.36
  6. Step 6: Final answer
    x = 12,162.55

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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.