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Finding the Fourth Proportional to 22,875, 31,568.94 and 12,804.12

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Solution

The fourth proportional to 22,875, 31,568.94 and 12,804.12 is: 17,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,875 : 31,568.94 = 12,804.12 : x
  2. Step 2: Convert to fraction form
    22,875/31,568.94 = 12,804.12/x
  3. Step 3: Cross multiply
    22,875x = 31,568.94 × 12,804.12
  4. Step 4: Simplify right side
    22,875x = 404,212,496.03
  5. Step 5: Solve for x
    x = 404,212,496.03/22,875
  6. Step 6: Final answer
    x = 17,670.49

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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.