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Finding the Fourth Proportional to 16,856.76, 25,277.32 and 9,838.80

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Solution

The fourth proportional to 16,856.76, 25,277.32 and 9,838.80 is: 14,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.76 : 25,277.32 = 9,838.80 : x
  2. Step 2: Convert to fraction form
    16,856.76/25,277.32 = 9,838.80/x
  3. Step 3: Cross multiply
    16,856.76x = 25,277.32 × 9,838.80
  4. Step 4: Simplify right side
    16,856.76x = 248,698,446.82
  5. Step 5: Solve for x
    x = 248,698,446.82/16,856.76
  6. Step 6: Final answer
    x = 14,753.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.