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Finding the Fourth Proportional to 16,873.48, 23,285.57 and 9,320

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Solution

The fourth proportional to 16,873.48, 23,285.57 and 9,320 is: 12,861.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,873.48 : 23,285.57 = 9,320 : x
  2. Step 2: Convert to fraction form
    16,873.48/23,285.57 = 9,320/x
  3. Step 3: Cross multiply
    16,873.48x = 23,285.57 × 9,320
  4. Step 4: Simplify right side
    16,873.48x = 217,021,512.40
  5. Step 5: Solve for x
    x = 217,021,512.40/16,873.48
  6. Step 6: Final answer
    x = 12,861.69

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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.