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Finding the Fourth Proportional to 14,561.91, 20,101.74 and 9,189.18

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Solution

The fourth proportional to 14,561.91, 20,101.74 and 9,189.18 is: 12,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.91 : 20,101.74 = 9,189.18 : x
  2. Step 2: Convert to fraction form
    14,561.91/20,101.74 = 9,189.18/x
  3. Step 3: Cross multiply
    14,561.91x = 20,101.74 × 9,189.18
  4. Step 4: Simplify right side
    14,561.91x = 184,718,507.17
  5. Step 5: Solve for x
    x = 184,718,507.17/14,561.91
  6. Step 6: Final answer
    x = 12,685.05

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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.