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Finding the Fourth Proportional to 13,714.92, 20,573.08 and 4,355.66

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Solution

The fourth proportional to 13,714.92, 20,573.08 and 4,355.66 is: 6,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.92 : 20,573.08 = 4,355.66 : x
  2. Step 2: Convert to fraction form
    13,714.92/20,573.08 = 4,355.66/x
  3. Step 3: Cross multiply
    13,714.92x = 20,573.08 × 4,355.66
  4. Step 4: Simplify right side
    13,714.92x = 89,609,341.63
  5. Step 5: Solve for x
    x = 89,609,341.63/13,714.92
  6. Step 6: Final answer
    x = 6,533.71

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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.