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Finding the Fourth Proportional to 22,802.77, 31,468.49 and 12,731.03

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Solution

The fourth proportional to 22,802.77, 31,468.49 and 12,731.03 is: 17,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.77 : 31,468.49 = 12,731.03 : x
  2. Step 2: Convert to fraction form
    22,802.77/31,468.49 = 12,731.03/x
  3. Step 3: Cross multiply
    22,802.77x = 31,468.49 × 12,731.03
  4. Step 4: Simplify right side
    22,802.77x = 400,626,290.24
  5. Step 5: Solve for x
    x = 400,626,290.24/22,802.77
  6. Step 6: Final answer
    x = 17,569.19

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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.