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Finding the Fourth Proportional to 17,811.36, 24,578.64 and 9,854.82

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Solution

The fourth proportional to 17,811.36, 24,578.64 and 9,854.82 is: 13,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811.36 : 24,578.64 = 9,854.82 : x
  2. Step 2: Convert to fraction form
    17,811.36/24,578.64 = 9,854.82/x
  3. Step 3: Cross multiply
    17,811.36x = 24,578.64 × 9,854.82
  4. Step 4: Simplify right side
    17,811.36x = 242,218,073.04
  5. Step 5: Solve for x
    x = 242,218,073.04/17,811.36
  6. Step 6: Final answer
    x = 13,599.08

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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.