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Finding the Fourth Proportional to 21,297, 29,380.14 and 14,590.20

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Solution

The fourth proportional to 21,297, 29,380.14 and 14,590.20 is: 20,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,297 : 29,380.14 = 14,590.20 : x
  2. Step 2: Convert to fraction form
    21,297/29,380.14 = 14,590.20/x
  3. Step 3: Cross multiply
    21,297x = 29,380.14 × 14,590.20
  4. Step 4: Simplify right side
    21,297x = 428,662,118.63
  5. Step 5: Solve for x
    x = 428,662,118.63/21,297
  6. Step 6: Final answer
    x = 20,127.82

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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.