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Finding the Fourth Proportional to 26,802.63, 40,206.65 and 9,270.18

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Solution

The fourth proportional to 26,802.63, 40,206.65 and 9,270.18 is: 13,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,802.63 : 40,206.65 = 9,270.18 : x
  2. Step 2: Convert to fraction form
    26,802.63/40,206.65 = 9,270.18/x
  3. Step 3: Cross multiply
    26,802.63x = 40,206.65 × 9,270.18
  4. Step 4: Simplify right side
    26,802.63x = 372,722,836.35
  5. Step 5: Solve for x
    x = 372,722,836.35/26,802.63
  6. Step 6: Final answer
    x = 13,906.20

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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.