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Finding the Fourth Proportional to 23,034, 31,787.06 and 12,962.61

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Solution

The fourth proportional to 23,034, 31,787.06 and 12,962.61 is: 17,888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,034 : 31,787.06 = 12,962.61 : x
  2. Step 2: Convert to fraction form
    23,034/31,787.06 = 12,962.61/x
  3. Step 3: Cross multiply
    23,034x = 31,787.06 × 12,962.61
  4. Step 4: Simplify right side
    23,034x = 412,043,197.01
  5. Step 5: Solve for x
    x = 412,043,197.01/23,034
  6. Step 6: Final answer
    x = 17,888.48

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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.