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Finding the Fourth Proportional to 22,802.90, 31,467.92 and 12,731.25

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Solution

The fourth proportional to 22,802.90, 31,467.92 and 12,731.25 is: 17,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.90 : 31,467.92 = 12,731.25 : x
  2. Step 2: Convert to fraction form
    22,802.90/31,467.92 = 12,731.25/x
  3. Step 3: Cross multiply
    22,802.90x = 31,467.92 × 12,731.25
  4. Step 4: Simplify right side
    22,802.90x = 400,625,956.50
  5. Step 5: Solve for x
    x = 400,625,956.50/22,802.90
  6. Step 6: Final answer
    x = 17,569.08

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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.