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Finding the Fourth Proportional to 22,458.75, 30,992.46 and 12,387

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Solution

The fourth proportional to 22,458.75, 30,992.46 and 12,387 is: 17,093.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,458.75 : 30,992.46 = 12,387 : x
  2. Step 2: Convert to fraction form
    22,458.75/30,992.46 = 12,387/x
  3. Step 3: Cross multiply
    22,458.75x = 30,992.46 × 12,387
  4. Step 4: Simplify right side
    22,458.75x = 383,903,602.02
  5. Step 5: Solve for x
    x = 383,903,602.02/22,458.75
  6. Step 6: Final answer
    x = 17,093.72

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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.