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Finding the Fourth Proportional to 26,802.92, 40,203.21 and 9,032.40

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Solution

The fourth proportional to 26,802.92, 40,203.21 and 9,032.40 is: 13,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,802.92 : 40,203.21 = 9,032.40 : x
  2. Step 2: Convert to fraction form
    26,802.92/40,203.21 = 9,032.40/x
  3. Step 3: Cross multiply
    26,802.92x = 40,203.21 × 9,032.40
  4. Step 4: Simplify right side
    26,802.92x = 363,131,474.00
  5. Step 5: Solve for x
    x = 363,131,474.00/26,802.92
  6. Step 6: Final answer
    x = 13,548.21

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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.