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Finding the Fourth Proportional to 17,758.88, 24,507.60 and 10,205.60

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Solution

The fourth proportional to 17,758.88, 24,507.60 and 10,205.60 is: 14,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.88 : 24,507.60 = 10,205.60 : x
  2. Step 2: Convert to fraction form
    17,758.88/24,507.60 = 10,205.60/x
  3. Step 3: Cross multiply
    17,758.88x = 24,507.60 × 10,205.60
  4. Step 4: Simplify right side
    17,758.88x = 250,114,762.56
  5. Step 5: Solve for x
    x = 250,114,762.56/17,758.88
  6. Step 6: Final answer
    x = 14,083.93

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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.