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Finding the Fourth Proportional to 17,380.98, 23,973.01 and 11,410.47

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Solution

The fourth proportional to 17,380.98, 23,973.01 and 11,410.47 is: 15,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,380.98 : 23,973.01 = 11,410.47 : x
  2. Step 2: Convert to fraction form
    17,380.98/23,973.01 = 11,410.47/x
  3. Step 3: Cross multiply
    17,380.98x = 23,973.01 × 11,410.47
  4. Step 4: Simplify right side
    17,380.98x = 273,543,282.89
  5. Step 5: Solve for x
    x = 273,543,282.89/17,380.98
  6. Step 6: Final answer
    x = 15,738.08

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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.