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Finding the Fourth Proportional to 17,742.80, 26,614.20 and 10,355.60

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Solution

The fourth proportional to 17,742.80, 26,614.20 and 10,355.60 is: 15,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.80 : 26,614.20 = 10,355.60 : x
  2. Step 2: Convert to fraction form
    17,742.80/26,614.20 = 10,355.60/x
  3. Step 3: Cross multiply
    17,742.80x = 26,614.20 × 10,355.60
  4. Step 4: Simplify right side
    17,742.80x = 275,606,009.52
  5. Step 5: Solve for x
    x = 275,606,009.52/17,742.80
  6. Step 6: Final answer
    x = 15,533.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.