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Finding the Fourth Proportional to 21,322.93, 31,983.48 and 7,284.21

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Solution

The fourth proportional to 21,322.93, 31,983.48 and 7,284.21 is: 10,926.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,322.93 : 31,983.48 = 7,284.21 : x
  2. Step 2: Convert to fraction form
    21,322.93/31,983.48 = 7,284.21/x
  3. Step 3: Cross multiply
    21,322.93x = 31,983.48 × 7,284.21
  4. Step 4: Simplify right side
    21,322.93x = 232,974,384.85
  5. Step 5: Solve for x
    x = 232,974,384.85/21,322.93
  6. Step 6: Final answer
    x = 10,926.00

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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.