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Finding the Fourth Proportional to 23,045.83, 31,801.23 and 12,836.09

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Solution

The fourth proportional to 23,045.83, 31,801.23 and 12,836.09 is: 17,712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,045.83 : 31,801.23 = 12,836.09 : x
  2. Step 2: Convert to fraction form
    23,045.83/31,801.23 = 12,836.09/x
  3. Step 3: Cross multiply
    23,045.83x = 31,801.23 × 12,836.09
  4. Step 4: Simplify right side
    23,045.83x = 408,203,529.89
  5. Step 5: Solve for x
    x = 408,203,529.89/23,045.83
  6. Step 6: Final answer
    x = 17,712.69

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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.