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Finding the Fourth Proportional to 23,076.76, 31,825.02 and 15,116.08

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Solution

The fourth proportional to 23,076.76, 31,825.02 and 15,116.08 is: 20,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076.76 : 31,825.02 = 15,116.08 : x
  2. Step 2: Convert to fraction form
    23,076.76/31,825.02 = 15,116.08/x
  3. Step 3: Cross multiply
    23,076.76x = 31,825.02 × 15,116.08
  4. Step 4: Simplify right side
    23,076.76x = 481,069,548.32
  5. Step 5: Solve for x
    x = 481,069,548.32/23,076.76
  6. Step 6: Final answer
    x = 20,846.49

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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.