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Finding the Fourth Proportional to 14,121.42, 19,484.42 and 8,151.81

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Solution

The fourth proportional to 14,121.42, 19,484.42 and 8,151.81 is: 11,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.42 : 19,484.42 = 8,151.81 : x
  2. Step 2: Convert to fraction form
    14,121.42/19,484.42 = 8,151.81/x
  3. Step 3: Cross multiply
    14,121.42x = 19,484.42 × 8,151.81
  4. Step 4: Simplify right side
    14,121.42x = 158,833,289.80
  5. Step 5: Solve for x
    x = 158,833,289.80/14,121.42
  6. Step 6: Final answer
    x = 11,247.69

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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.