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Finding the Fourth Proportional to 17,855.94, 24,638.92 and 9,898.09

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Solution

The fourth proportional to 17,855.94, 24,638.92 and 9,898.09 is: 13,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.94 : 24,638.92 = 9,898.09 : x
  2. Step 2: Convert to fraction form
    17,855.94/24,638.92 = 9,898.09/x
  3. Step 3: Cross multiply
    17,855.94x = 24,638.92 × 9,898.09
  4. Step 4: Simplify right side
    17,855.94x = 243,878,247.66
  5. Step 5: Solve for x
    x = 243,878,247.66/17,855.94
  6. Step 6: Final answer
    x = 13,658.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.