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Finding the Fourth Proportional to 16,857.85, 25,237.80 and 9,816.40

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Solution

The fourth proportional to 16,857.85, 25,237.80 and 9,816.40 is: 14,696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.85 : 25,237.80 = 9,816.40 : x
  2. Step 2: Convert to fraction form
    16,857.85/25,237.80 = 9,816.40/x
  3. Step 3: Cross multiply
    16,857.85x = 25,237.80 × 9,816.40
  4. Step 4: Simplify right side
    16,857.85x = 247,744,339.92
  5. Step 5: Solve for x
    x = 247,744,339.92/16,857.85
  6. Step 6: Final answer
    x = 14,696.08

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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.