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Finding the Fourth Proportional to 21,895.36, 32,843.76 and 6,313.12

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Solution

The fourth proportional to 21,895.36, 32,843.76 and 6,313.12 is: 9,469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,895.36 : 32,843.76 = 6,313.12 : x
  2. Step 2: Convert to fraction form
    21,895.36/32,843.76 = 6,313.12/x
  3. Step 3: Cross multiply
    21,895.36x = 32,843.76 × 6,313.12
  4. Step 4: Simplify right side
    21,895.36x = 207,346,598.13
  5. Step 5: Solve for x
    x = 207,346,598.13/21,895.36
  6. Step 6: Final answer
    x = 9,469.89

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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.