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Finding the Fourth Proportional to 14,291.39, 19,724.09 and 8,324.93

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Solution

The fourth proportional to 14,291.39, 19,724.09 and 8,324.93 is: 11,489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.39 : 19,724.09 = 8,324.93 : x
  2. Step 2: Convert to fraction form
    14,291.39/19,724.09 = 8,324.93/x
  3. Step 3: Cross multiply
    14,291.39x = 19,724.09 × 8,324.93
  4. Step 4: Simplify right side
    14,291.39x = 164,201,676.25
  5. Step 5: Solve for x
    x = 164,201,676.25/14,291.39
  6. Step 6: Final answer
    x = 11,489.55

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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.