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Finding the Fourth Proportional to 20,714.66, 28,577.70 and 14,430.68

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Solution

The fourth proportional to 20,714.66, 28,577.70 and 14,430.68 is: 19,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.66 : 28,577.70 = 14,430.68 : x
  2. Step 2: Convert to fraction form
    20,714.66/28,577.70 = 14,430.68/x
  3. Step 3: Cross multiply
    20,714.66x = 28,577.70 × 14,430.68
  4. Step 4: Simplify right side
    20,714.66x = 412,395,500.95
  5. Step 5: Solve for x
    x = 412,395,500.95/20,714.66
  6. Step 6: Final answer
    x = 19,908.39

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Why These Related Problems?

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