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Finding the Fourth Proportional to 17,813.84, 24,581.22 and 9,854.80

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Solution

The fourth proportional to 17,813.84, 24,581.22 and 9,854.80 is: 13,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.84 : 24,581.22 = 9,854.80 : x
  2. Step 2: Convert to fraction form
    17,813.84/24,581.22 = 9,854.80/x
  3. Step 3: Cross multiply
    17,813.84x = 24,581.22 × 9,854.80
  4. Step 4: Simplify right side
    17,813.84x = 242,243,006.86
  5. Step 5: Solve for x
    x = 242,243,006.86/17,813.84
  6. Step 6: Final answer
    x = 13,598.58

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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.