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Finding the Fourth Proportional to 17,606.25, 24,296.63 and 10,154.25

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Solution

The fourth proportional to 17,606.25, 24,296.63 and 10,154.25 is: 14,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,606.25 : 24,296.63 = 10,154.25 : x
  2. Step 2: Convert to fraction form
    17,606.25/24,296.63 = 10,154.25/x
  3. Step 3: Cross multiply
    17,606.25x = 24,296.63 × 10,154.25
  4. Step 4: Simplify right side
    17,606.25x = 246,714,004.41
  5. Step 5: Solve for x
    x = 246,714,004.41/17,606.25
  6. Step 6: Final answer
    x = 14,012.87

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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.