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Finding the Fourth Proportional to 21,189.38, 31,784.30 and 6,398.42

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Solution

The fourth proportional to 21,189.38, 31,784.30 and 6,398.42 is: 9,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.38 : 31,784.30 = 6,398.42 : x
  2. Step 2: Convert to fraction form
    21,189.38/31,784.30 = 6,398.42/x
  3. Step 3: Cross multiply
    21,189.38x = 31,784.30 × 6,398.42
  4. Step 4: Simplify right side
    21,189.38x = 203,369,300.81
  5. Step 5: Solve for x
    x = 203,369,300.81/21,189.38
  6. Step 6: Final answer
    x = 9,597.70

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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.