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Finding the Fourth Proportional to 22,593.46, 33,894.72 and 7,802.92

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Solution

The fourth proportional to 22,593.46, 33,894.72 and 7,802.92 is: 11,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,593.46 : 33,894.72 = 7,802.92 : x
  2. Step 2: Convert to fraction form
    22,593.46/33,894.72 = 7,802.92/x
  3. Step 3: Cross multiply
    22,593.46x = 33,894.72 × 7,802.92
  4. Step 4: Simplify right side
    22,593.46x = 264,477,788.58
  5. Step 5: Solve for x
    x = 264,477,788.58/22,593.46
  6. Step 6: Final answer
    x = 11,705.94

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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.