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Finding the Fourth Proportional to 16,805.40, 25,218.90 and 9,785.40

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Solution

The fourth proportional to 16,805.40, 25,218.90 and 9,785.40 is: 14,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.40 : 25,218.90 = 9,785.40 : x
  2. Step 2: Convert to fraction form
    16,805.40/25,218.90 = 9,785.40/x
  3. Step 3: Cross multiply
    16,805.40x = 25,218.90 × 9,785.40
  4. Step 4: Simplify right side
    16,805.40x = 246,777,024.06
  5. Step 5: Solve for x
    x = 246,777,024.06/16,805.40
  6. Step 6: Final answer
    x = 14,684.39

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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.