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Finding the Fourth Proportional to 23,254.41, 34,881.61 and 6,838.41

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Solution

The fourth proportional to 23,254.41, 34,881.61 and 6,838.41 is: 10,257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,254.41 : 34,881.61 = 6,838.41 : x
  2. Step 2: Convert to fraction form
    23,254.41/34,881.61 = 6,838.41/x
  3. Step 3: Cross multiply
    23,254.41x = 34,881.61 × 6,838.41
  4. Step 4: Simplify right side
    23,254.41x = 238,534,628.38
  5. Step 5: Solve for x
    x = 238,534,628.38/23,254.41
  6. Step 6: Final answer
    x = 10,257.61

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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.