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Finding the Fourth Proportional to 17,684.91, 24,405.48 and 9,727.47

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Solution

The fourth proportional to 17,684.91, 24,405.48 and 9,727.47 is: 13,424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.91 : 24,405.48 = 9,727.47 : x
  2. Step 2: Convert to fraction form
    17,684.91/24,405.48 = 9,727.47/x
  3. Step 3: Cross multiply
    17,684.91x = 24,405.48 × 9,727.47
  4. Step 4: Simplify right side
    17,684.91x = 237,403,574.54
  5. Step 5: Solve for x
    x = 237,403,574.54/17,684.91
  6. Step 6: Final answer
    x = 13,424.08

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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.