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Finding the Fourth Proportional to 19,802.61, 29,705.25 and 7,322.33

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Solution

The fourth proportional to 19,802.61, 29,705.25 and 7,322.33 is: 10,983.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.61 : 29,705.25 = 7,322.33 : x
  2. Step 2: Convert to fraction form
    19,802.61/29,705.25 = 7,322.33/x
  3. Step 3: Cross multiply
    19,802.61x = 29,705.25 × 7,322.33
  4. Step 4: Simplify right side
    19,802.61x = 217,511,643.23
  5. Step 5: Solve for x
    x = 217,511,643.23/19,802.61
  6. Step 6: Final answer
    x = 10,983.99

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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.