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Finding the Fourth Proportional to 23,013.15, 31,759.06 and 12,941.54

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Solution

The fourth proportional to 23,013.15, 31,759.06 and 12,941.54 is: 17,859.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,013.15 : 31,759.06 = 12,941.54 : x
  2. Step 2: Convert to fraction form
    23,013.15/31,759.06 = 12,941.54/x
  3. Step 3: Cross multiply
    23,013.15x = 31,759.06 × 12,941.54
  4. Step 4: Simplify right side
    23,013.15x = 411,011,145.35
  5. Step 5: Solve for x
    x = 411,011,145.35/23,013.15
  6. Step 6: Final answer
    x = 17,859.84

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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.