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Finding the Fourth Proportional to 22,802.50, 31,467.45 and 12,866.50

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Solution

The fourth proportional to 22,802.50, 31,467.45 and 12,866.50 is: 17,755.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.50 : 31,467.45 = 12,866.50 : x
  2. Step 2: Convert to fraction form
    22,802.50/31,467.45 = 12,866.50/x
  3. Step 3: Cross multiply
    22,802.50x = 31,467.45 × 12,866.50
  4. Step 4: Simplify right side
    22,802.50x = 404,875,945.43
  5. Step 5: Solve for x
    x = 404,875,945.43/22,802.50
  6. Step 6: Final answer
    x = 17,755.77

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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.