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Finding the Fourth Proportional to 20,837.16, 31,254.78 and 6,045.78

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Solution

The fourth proportional to 20,837.16, 31,254.78 and 6,045.78 is: 9,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,837.16 : 31,254.78 = 6,045.78 : x
  2. Step 2: Convert to fraction form
    20,837.16/31,254.78 = 6,045.78/x
  3. Step 3: Cross multiply
    20,837.16x = 31,254.78 × 6,045.78
  4. Step 4: Simplify right side
    20,837.16x = 188,959,523.83
  5. Step 5: Solve for x
    x = 188,959,523.83/20,837.16
  6. Step 6: Final answer
    x = 9,068.39

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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.