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Finding the Fourth Proportional to 22,833.52, 31,510.94 and 12,761.98

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Solution

The fourth proportional to 22,833.52, 31,510.94 and 12,761.98 is: 17,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,833.52 : 31,510.94 = 12,761.98 : x
  2. Step 2: Convert to fraction form
    22,833.52/31,510.94 = 12,761.98/x
  3. Step 3: Cross multiply
    22,833.52x = 31,510.94 × 12,761.98
  4. Step 4: Simplify right side
    22,833.52x = 402,141,986.06
  5. Step 5: Solve for x
    x = 402,141,986.06/22,833.52
  6. Step 6: Final answer
    x = 17,611.91

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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.