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Finding the Fourth Proportional to 21,009.42, 31,514.67 and 5,427

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Solution

The fourth proportional to 21,009.42, 31,514.67 and 5,427 is: 8,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.42 : 31,514.67 = 5,427 : x
  2. Step 2: Convert to fraction form
    21,009.42/31,514.67 = 5,427/x
  3. Step 3: Cross multiply
    21,009.42x = 31,514.67 × 5,427
  4. Step 4: Simplify right side
    21,009.42x = 171,030,114.09
  5. Step 5: Solve for x
    x = 171,030,114.09/21,009.42
  6. Step 6: Final answer
    x = 8,140.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.