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Finding the Fourth Proportional to 17,811.66, 24,580.81 and 9,853.74

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Solution

The fourth proportional to 17,811.66, 24,580.81 and 9,853.74 is: 13,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.66 : 24,580.81 = 9,853.74 : x
  2. Step 2: Convert to fraction form
    17,811.66/24,580.81 = 9,853.74/x
  3. Step 3: Cross multiply
    17,811.66x = 24,580.81 × 9,853.74
  4. Step 4: Simplify right side
    17,811.66x = 242,212,910.73
  5. Step 5: Solve for x
    x = 242,212,910.73/17,811.66
  6. Step 6: Final answer
    x = 13,598.56

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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.