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Finding the Fourth Proportional to 17,777.80, 24,533.22 and 9,820.54

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Solution

The fourth proportional to 17,777.80, 24,533.22 and 9,820.54 is: 13,552.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777.80 : 24,533.22 = 9,820.54 : x
  2. Step 2: Convert to fraction form
    17,777.80/24,533.22 = 9,820.54/x
  3. Step 3: Cross multiply
    17,777.80x = 24,533.22 × 9,820.54
  4. Step 4: Simplify right side
    17,777.80x = 240,929,468.34
  5. Step 5: Solve for x
    x = 240,929,468.34/17,777.80
  6. Step 6: Final answer
    x = 13,552.27

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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.