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Finding the Fourth Proportional to 17,980.80, 24,813.60 and 10,022.96

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Solution

The fourth proportional to 17,980.80, 24,813.60 and 10,022.96 is: 13,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980.80 : 24,813.60 = 10,022.96 : x
  2. Step 2: Convert to fraction form
    17,980.80/24,813.60 = 10,022.96/x
  3. Step 3: Cross multiply
    17,980.80x = 24,813.60 × 10,022.96
  4. Step 4: Simplify right side
    17,980.80x = 248,705,720.26
  5. Step 5: Solve for x
    x = 248,705,720.26/17,980.80
  6. Step 6: Final answer
    x = 13,831.74

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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.