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Finding the Fourth Proportional to 22,877.65, 31,569.63 and 12,804.37

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Solution

The fourth proportional to 22,877.65, 31,569.63 and 12,804.37 is: 17,669.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,877.65 : 31,569.63 = 12,804.37 : x
  2. Step 2: Convert to fraction form
    22,877.65/31,569.63 = 12,804.37/x
  3. Step 3: Cross multiply
    22,877.65x = 31,569.63 × 12,804.37
  4. Step 4: Simplify right side
    22,877.65x = 404,229,159.26
  5. Step 5: Solve for x
    x = 404,229,159.26/22,877.65
  6. Step 6: Final answer
    x = 17,669.17

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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.