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Finding the Fourth Proportional to 22,714.56, 34,071.72 and 6,298.56

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Solution

The fourth proportional to 22,714.56, 34,071.72 and 6,298.56 is: 9,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.56 : 34,071.72 = 6,298.56 : x
  2. Step 2: Convert to fraction form
    22,714.56/34,071.72 = 6,298.56/x
  3. Step 3: Cross multiply
    22,714.56x = 34,071.72 × 6,298.56
  4. Step 4: Simplify right side
    22,714.56x = 214,602,772.72
  5. Step 5: Solve for x
    x = 214,602,772.72/22,714.56
  6. Step 6: Final answer
    x = 9,447.81

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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.