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Finding the Fourth Proportional to 24,694.98, 37,048.14 and 7,166.22

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Solution

The fourth proportional to 24,694.98, 37,048.14 and 7,166.22 is: 10,750.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694.98 : 37,048.14 = 7,166.22 : x
  2. Step 2: Convert to fraction form
    24,694.98/37,048.14 = 7,166.22/x
  3. Step 3: Cross multiply
    24,694.98x = 37,048.14 × 7,166.22
  4. Step 4: Simplify right side
    24,694.98x = 265,495,121.83
  5. Step 5: Solve for x
    x = 265,495,121.83/24,694.98
  6. Step 6: Final answer
    x = 10,750.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.