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Finding the Fourth Proportional to 22,208.40, 33,313.20 and 9,721.98

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Solution

The fourth proportional to 22,208.40, 33,313.20 and 9,721.98 is: 14,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,208.40 : 33,313.20 = 9,721.98 : x
  2. Step 2: Convert to fraction form
    22,208.40/33,313.20 = 9,721.98/x
  3. Step 3: Cross multiply
    22,208.40x = 33,313.20 × 9,721.98
  4. Step 4: Simplify right side
    22,208.40x = 323,870,264.14
  5. Step 5: Solve for x
    x = 323,870,264.14/22,208.40
  6. Step 6: Final answer
    x = 14,583.23

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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.