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Finding the Fourth Proportional to 16,929.92, 23,364.74 and 9,857

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Solution

The fourth proportional to 16,929.92, 23,364.74 and 9,857 is: 13,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,929.92 : 23,364.74 = 9,857 : x
  2. Step 2: Convert to fraction form
    16,929.92/23,364.74 = 9,857/x
  3. Step 3: Cross multiply
    16,929.92x = 23,364.74 × 9,857
  4. Step 4: Simplify right side
    16,929.92x = 230,306,242.18
  5. Step 5: Solve for x
    x = 230,306,242.18/16,929.92
  6. Step 6: Final answer
    x = 13,603.50

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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.