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Finding the Fourth Proportional to 23,384.31, 35,076.51 and 7,801.98

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Solution

The fourth proportional to 23,384.31, 35,076.51 and 7,801.98 is: 11,702.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.31 : 35,076.51 = 7,801.98 : x
  2. Step 2: Convert to fraction form
    23,384.31/35,076.51 = 7,801.98/x
  3. Step 3: Cross multiply
    23,384.31x = 35,076.51 × 7,801.98
  4. Step 4: Simplify right side
    23,384.31x = 273,666,229.49
  5. Step 5: Solve for x
    x = 273,666,229.49/23,384.31
  6. Step 6: Final answer
    x = 11,702.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.