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Finding the Fourth Proportional to 16,695.88, 25,043.74 and 6,835.16

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Solution

The fourth proportional to 16,695.88, 25,043.74 and 6,835.16 is: 10,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,695.88 : 25,043.74 = 6,835.16 : x
  2. Step 2: Convert to fraction form
    16,695.88/25,043.74 = 6,835.16/x
  3. Step 3: Cross multiply
    16,695.88x = 25,043.74 × 6,835.16
  4. Step 4: Simplify right side
    16,695.88x = 171,177,827.59
  5. Step 5: Solve for x
    x = 171,177,827.59/16,695.88
  6. Step 6: Final answer
    x = 10,252.70

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Why These Related Problems?

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