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Finding the Fourth Proportional to 20,714.19, 28,575.81 and 14,002.17

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Solution

The fourth proportional to 20,714.19, 28,575.81 and 14,002.17 is: 19,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.19 : 28,575.81 = 14,002.17 : x
  2. Step 2: Convert to fraction form
    20,714.19/28,575.81 = 14,002.17/x
  3. Step 3: Cross multiply
    20,714.19x = 28,575.81 × 14,002.17
  4. Step 4: Simplify right side
    20,714.19x = 400,123,349.51
  5. Step 5: Solve for x
    x = 400,123,349.51/20,714.19
  6. Step 6: Final answer
    x = 19,316.39

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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.