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Finding the Fourth Proportional to 17,822.66, 24,596.01 and 9,864.77

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Solution

The fourth proportional to 17,822.66, 24,596.01 and 9,864.77 is: 13,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.66 : 24,596.01 = 9,864.77 : x
  2. Step 2: Convert to fraction form
    17,822.66/24,596.01 = 9,864.77/x
  3. Step 3: Cross multiply
    17,822.66x = 24,596.01 × 9,864.77
  4. Step 4: Simplify right side
    17,822.66x = 242,633,858.59
  5. Step 5: Solve for x
    x = 242,633,858.59/17,822.66
  6. Step 6: Final answer
    x = 13,613.79

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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.