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Finding the Fourth Proportional to 17,969.96, 24,798.79 and 10,416.71

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Solution

The fourth proportional to 17,969.96, 24,798.79 and 10,416.71 is: 14,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969.96 : 24,798.79 = 10,416.71 : x
  2. Step 2: Convert to fraction form
    17,969.96/24,798.79 = 10,416.71/x
  3. Step 3: Cross multiply
    17,969.96x = 24,798.79 × 10,416.71
  4. Step 4: Simplify right side
    17,969.96x = 258,321,878.80
  5. Step 5: Solve for x
    x = 258,321,878.80/17,969.96
  6. Step 6: Final answer
    x = 14,375.20

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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.