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Finding the Fourth Proportional to 24,735.66, 37,109.31 and 8,095.63

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Solution

The fourth proportional to 24,735.66, 37,109.31 and 8,095.63 is: 12,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,735.66 : 37,109.31 = 8,095.63 : x
  2. Step 2: Convert to fraction form
    24,735.66/37,109.31 = 8,095.63/x
  3. Step 3: Cross multiply
    24,735.66x = 37,109.31 × 8,095.63
  4. Step 4: Simplify right side
    24,735.66x = 300,423,150.54
  5. Step 5: Solve for x
    x = 300,423,150.54/24,735.66
  6. Step 6: Final answer
    x = 12,145.35

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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.