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Finding the Fourth Proportional to 20,714.76, 28,587.24 and 11,283.84

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Solution

The fourth proportional to 20,714.76, 28,587.24 and 11,283.84 is: 15,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.76 : 28,587.24 = 11,283.84 : x
  2. Step 2: Convert to fraction form
    20,714.76/28,587.24 = 11,283.84/x
  3. Step 3: Cross multiply
    20,714.76x = 28,587.24 × 11,283.84
  4. Step 4: Simplify right side
    20,714.76x = 322,573,842.20
  5. Step 5: Solve for x
    x = 322,573,842.20/20,714.76
  6. Step 6: Final answer
    x = 15,572.17

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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.