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Finding the Fourth Proportional to 25,242, 37,873.74 and 10,461.66

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Solution

The fourth proportional to 25,242, 37,873.74 and 10,461.66 is: 15,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,242 : 37,873.74 = 10,461.66 : x
  2. Step 2: Convert to fraction form
    25,242/37,873.74 = 10,461.66/x
  3. Step 3: Cross multiply
    25,242x = 37,873.74 × 10,461.66
  4. Step 4: Simplify right side
    25,242x = 396,222,190.81
  5. Step 5: Solve for x
    x = 396,222,190.81/25,242
  6. Step 6: Final answer
    x = 15,696.94

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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.