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Finding the Fourth Proportional to 23,143.84, 31,938.52 and 12,533.49

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Solution

The fourth proportional to 23,143.84, 31,938.52 and 12,533.49 is: 17,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.84 : 31,938.52 = 12,533.49 : x
  2. Step 2: Convert to fraction form
    23,143.84/31,938.52 = 12,533.49/x
  3. Step 3: Cross multiply
    23,143.84x = 31,938.52 × 12,533.49
  4. Step 4: Simplify right side
    23,143.84x = 400,301,121.03
  5. Step 5: Solve for x
    x = 400,301,121.03/23,143.84
  6. Step 6: Final answer
    x = 17,296.23

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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.