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Finding the Fourth Proportional to 24,804.98, 37,212.59 and 8,166

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Solution

The fourth proportional to 24,804.98, 37,212.59 and 8,166 is: 12,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,804.98 : 37,212.59 = 8,166 : x
  2. Step 2: Convert to fraction form
    24,804.98/37,212.59 = 8,166/x
  3. Step 3: Cross multiply
    24,804.98x = 37,212.59 × 8,166
  4. Step 4: Simplify right side
    24,804.98x = 303,877,969.11
  5. Step 5: Solve for x
    x = 303,877,969.11/24,804.98
  6. Step 6: Final answer
    x = 12,250.69

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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.