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Finding the Fourth Proportional to 20,714.46, 28,586.04 and 11,283

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Solution

The fourth proportional to 20,714.46, 28,586.04 and 11,283 is: 15,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.46 : 28,586.04 = 11,283 : x
  2. Step 2: Convert to fraction form
    20,714.46/28,586.04 = 11,283/x
  3. Step 3: Cross multiply
    20,714.46x = 28,586.04 × 11,283
  4. Step 4: Simplify right side
    20,714.46x = 322,536,289.32
  5. Step 5: Solve for x
    x = 322,536,289.32/20,714.46
  6. Step 6: Final answer
    x = 15,570.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.