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Finding the Fourth Proportional to 24,746.82, 37,126.53 and 8,107.98

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Solution

The fourth proportional to 24,746.82, 37,126.53 and 8,107.98 is: 12,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,746.82 : 37,126.53 = 8,107.98 : x
  2. Step 2: Convert to fraction form
    24,746.82/37,126.53 = 8,107.98/x
  3. Step 3: Cross multiply
    24,746.82x = 37,126.53 × 8,107.98
  4. Step 4: Simplify right side
    24,746.82x = 301,021,162.71
  5. Step 5: Solve for x
    x = 301,021,162.71/24,746.82
  6. Step 6: Final answer
    x = 12,164.03

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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.