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Finding the Fourth Proportional to 21,234.96, 31,857.57 and 6,443.01

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Solution

The fourth proportional to 21,234.96, 31,857.57 and 6,443.01 is: 9,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.96 : 31,857.57 = 6,443.01 : x
  2. Step 2: Convert to fraction form
    21,234.96/31,857.57 = 6,443.01/x
  3. Step 3: Cross multiply
    21,234.96x = 31,857.57 × 6,443.01
  4. Step 4: Simplify right side
    21,234.96x = 205,258,642.09
  5. Step 5: Solve for x
    x = 205,258,642.09/21,234.96
  6. Step 6: Final answer
    x = 9,666.07

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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.