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Finding the Fourth Proportional to 21,186, 31,779.72 and 6,395.40

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Solution

The fourth proportional to 21,186, 31,779.72 and 6,395.40 is: 9,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,186 : 31,779.72 = 6,395.40 : x
  2. Step 2: Convert to fraction form
    21,186/31,779.72 = 6,395.40/x
  3. Step 3: Cross multiply
    21,186x = 31,779.72 × 6,395.40
  4. Step 4: Simplify right side
    21,186x = 203,244,021.29
  5. Step 5: Solve for x
    x = 203,244,021.29/21,186
  6. Step 6: Final answer
    x = 9,593.32

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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.