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Finding the Fourth Proportional to 20,476.06, 30,714.70 and 5,686.06

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Solution

The fourth proportional to 20,476.06, 30,714.70 and 5,686.06 is: 8,529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476.06 : 30,714.70 = 5,686.06 : x
  2. Step 2: Convert to fraction form
    20,476.06/30,714.70 = 5,686.06/x
  3. Step 3: Cross multiply
    20,476.06x = 30,714.70 × 5,686.06
  4. Step 4: Simplify right side
    20,476.06x = 174,645,627.08
  5. Step 5: Solve for x
    x = 174,645,627.08/20,476.06
  6. Step 6: Final answer
    x = 8,529.26

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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.