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Finding the Fourth Proportional to 19,802.97, 29,709.05 and 5,763.33

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Solution

The fourth proportional to 19,802.97, 29,709.05 and 5,763.33 is: 8,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.97 : 29,709.05 = 5,763.33 : x
  2. Step 2: Convert to fraction form
    19,802.97/29,709.05 = 5,763.33/x
  3. Step 3: Cross multiply
    19,802.97x = 29,709.05 × 5,763.33
  4. Step 4: Simplify right side
    19,802.97x = 171,223,030.32
  5. Step 5: Solve for x
    x = 171,223,030.32/19,802.97
  6. Step 6: Final answer
    x = 8,646.33

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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.