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Finding the Fourth Proportional to 22,583.16, 31,164.54 and 12,512.22

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Solution

The fourth proportional to 22,583.16, 31,164.54 and 12,512.22 is: 17,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,583.16 : 31,164.54 = 12,512.22 : x
  2. Step 2: Convert to fraction form
    22,583.16/31,164.54 = 12,512.22/x
  3. Step 3: Cross multiply
    22,583.16x = 31,164.54 × 12,512.22
  4. Step 4: Simplify right side
    22,583.16x = 389,937,580.68
  5. Step 5: Solve for x
    x = 389,937,580.68/22,583.16
  6. Step 6: Final answer
    x = 17,266.74

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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.