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Finding the Fourth Proportional to 17,813.67, 24,582.74 and 9,855.71

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Solution

The fourth proportional to 17,813.67, 24,582.74 and 9,855.71 is: 13,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.67 : 24,582.74 = 9,855.71 : x
  2. Step 2: Convert to fraction form
    17,813.67/24,582.74 = 9,855.71/x
  3. Step 3: Cross multiply
    17,813.67x = 24,582.74 × 9,855.71
  4. Step 4: Simplify right side
    17,813.67x = 242,280,184.25
  5. Step 5: Solve for x
    x = 242,280,184.25/17,813.67
  6. Step 6: Final answer
    x = 13,600.80

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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.