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Finding the Fourth Proportional to 25,201.80, 37,802.70 and 10,405.80

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Solution

The fourth proportional to 25,201.80, 37,802.70 and 10,405.80 is: 15,608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201.80 : 37,802.70 = 10,405.80 : x
  2. Step 2: Convert to fraction form
    25,201.80/37,802.70 = 10,405.80/x
  3. Step 3: Cross multiply
    25,201.80x = 37,802.70 × 10,405.80
  4. Step 4: Simplify right side
    25,201.80x = 393,367,335.66
  5. Step 5: Solve for x
    x = 393,367,335.66/25,201.80
  6. Step 6: Final answer
    x = 15,608.70

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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.