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Finding the Fourth Proportional to 22,425, 30,946.50 and 12,489

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Solution

The fourth proportional to 22,425, 30,946.50 and 12,489 is: 17,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,425 : 30,946.50 = 12,489 : x
  2. Step 2: Convert to fraction form
    22,425/30,946.50 = 12,489/x
  3. Step 3: Cross multiply
    22,425x = 30,946.50 × 12,489
  4. Step 4: Simplify right side
    22,425x = 386,490,838.50
  5. Step 5: Solve for x
    x = 386,490,838.50/22,425
  6. Step 6: Final answer
    x = 17,234.82

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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.