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Finding the Fourth Proportional to 27,802.72, 38,380.04 and 17,744.32

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Solution

The fourth proportional to 27,802.72, 38,380.04 and 17,744.32 is: 24,495.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.72 : 38,380.04 = 17,744.32 : x
  2. Step 2: Convert to fraction form
    27,802.72/38,380.04 = 17,744.32/x
  3. Step 3: Cross multiply
    27,802.72x = 38,380.04 × 17,744.32
  4. Step 4: Simplify right side
    27,802.72x = 681,027,711.37
  5. Step 5: Solve for x
    x = 681,027,711.37/27,802.72
  6. Step 6: Final answer
    x = 24,495.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.