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Finding the Fourth Proportional to 17,855.88, 24,642.30 and 9,898.44

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Solution

The fourth proportional to 17,855.88, 24,642.30 and 9,898.44 is: 13,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.88 : 24,642.30 = 9,898.44 : x
  2. Step 2: Convert to fraction form
    17,855.88/24,642.30 = 9,898.44/x
  3. Step 3: Cross multiply
    17,855.88x = 24,642.30 × 9,898.44
  4. Step 4: Simplify right side
    17,855.88x = 243,920,328.01
  5. Step 5: Solve for x
    x = 243,920,328.01/17,855.88
  6. Step 6: Final answer
    x = 13,660.50

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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.