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Finding the Fourth Proportional to 23,931.54, 35,901.18 and 8,137.98

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Solution

The fourth proportional to 23,931.54, 35,901.18 and 8,137.98 is: 12,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,931.54 : 35,901.18 = 8,137.98 : x
  2. Step 2: Convert to fraction form
    23,931.54/35,901.18 = 8,137.98/x
  3. Step 3: Cross multiply
    23,931.54x = 35,901.18 × 8,137.98
  4. Step 4: Simplify right side
    23,931.54x = 292,163,084.82
  5. Step 5: Solve for x
    x = 292,163,084.82/23,931.54
  6. Step 6: Final answer
    x = 12,208.29

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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.