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Finding the Fourth Proportional to 14,194.95, 19,588.81 and 8,144.95

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Solution

The fourth proportional to 14,194.95, 19,588.81 and 8,144.95 is: 11,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.95 : 19,588.81 = 8,144.95 : x
  2. Step 2: Convert to fraction form
    14,194.95/19,588.81 = 8,144.95/x
  3. Step 3: Cross multiply
    14,194.95x = 19,588.81 × 8,144.95
  4. Step 4: Simplify right side
    14,194.95x = 159,549,944.68
  5. Step 5: Solve for x
    x = 159,549,944.68/14,194.95
  6. Step 6: Final answer
    x = 11,239.91

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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.