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Finding the Fourth Proportional to 21,665.87, 29,897.46 and 12,590.42

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Solution

The fourth proportional to 21,665.87, 29,897.46 and 12,590.42 is: 17,373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.87 : 29,897.46 = 12,590.42 : x
  2. Step 2: Convert to fraction form
    21,665.87/29,897.46 = 12,590.42/x
  3. Step 3: Cross multiply
    21,665.87x = 29,897.46 × 12,590.42
  4. Step 4: Simplify right side
    21,665.87x = 376,421,578.33
  5. Step 5: Solve for x
    x = 376,421,578.33/21,665.87
  6. Step 6: Final answer
    x = 17,373.94

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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.