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Finding the Fourth Proportional to 25,812.45, 38,714.06 and 6,837.22

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Solution

The fourth proportional to 25,812.45, 38,714.06 and 6,837.22 is: 10,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,812.45 : 38,714.06 = 6,837.22 : x
  2. Step 2: Convert to fraction form
    25,812.45/38,714.06 = 6,837.22/x
  3. Step 3: Cross multiply
    25,812.45x = 38,714.06 × 6,837.22
  4. Step 4: Simplify right side
    25,812.45x = 264,696,610.80
  5. Step 5: Solve for x
    x = 264,696,610.80/25,812.45
  6. Step 6: Final answer
    x = 10,254.61

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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.