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Finding the Fourth Proportional to 23,113.76, 31,896.94 and 12,503.36

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Solution

The fourth proportional to 23,113.76, 31,896.94 and 12,503.36 is: 17,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,113.76 : 31,896.94 = 12,503.36 : x
  2. Step 2: Convert to fraction form
    23,113.76/31,896.94 = 12,503.36/x
  3. Step 3: Cross multiply
    23,113.76x = 31,896.94 × 12,503.36
  4. Step 4: Simplify right side
    23,113.76x = 398,818,923.72
  5. Step 5: Solve for x
    x = 398,818,923.72/23,113.76
  6. Step 6: Final answer
    x = 17,254.61

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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.