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Finding the Fourth Proportional to 19,725.67, 27,224.94 and 11,659

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Solution

The fourth proportional to 19,725.67, 27,224.94 and 11,659 is: 16,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,725.67 : 27,224.94 = 11,659 : x
  2. Step 2: Convert to fraction form
    19,725.67/27,224.94 = 11,659/x
  3. Step 3: Cross multiply
    19,725.67x = 27,224.94 × 11,659
  4. Step 4: Simplify right side
    19,725.67x = 317,415,575.46
  5. Step 5: Solve for x
    x = 317,415,575.46/19,725.67
  6. Step 6: Final answer
    x = 16,091.50

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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.