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Finding the Fourth Proportional to 21,431.76, 29,514.60 and 20,098.32

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Solution

The fourth proportional to 21,431.76, 29,514.60 and 20,098.32 is: 27,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.76 : 29,514.60 = 20,098.32 : x
  2. Step 2: Convert to fraction form
    21,431.76/29,514.60 = 20,098.32/x
  3. Step 3: Cross multiply
    21,431.76x = 29,514.60 × 20,098.32
  4. Step 4: Simplify right side
    21,431.76x = 593,193,875.47
  5. Step 5: Solve for x
    x = 593,193,875.47/21,431.76
  6. Step 6: Final answer
    x = 27,678.26

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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.