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Finding the Fourth Proportional to 14,741.81, 20,343.71 and 8,117.81

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Solution

The fourth proportional to 14,741.81, 20,343.71 and 8,117.81 is: 11,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,741.81 : 20,343.71 = 8,117.81 : x
  2. Step 2: Convert to fraction form
    14,741.81/20,343.71 = 8,117.81/x
  3. Step 3: Cross multiply
    14,741.81x = 20,343.71 × 8,117.81
  4. Step 4: Simplify right side
    14,741.81x = 165,146,382.75
  5. Step 5: Solve for x
    x = 165,146,382.75/14,741.81
  6. Step 6: Final answer
    x = 11,202.58

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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.