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Finding the Fourth Proportional to 14,523.42, 21,785.12 and 4,135.17

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Solution

The fourth proportional to 14,523.42, 21,785.12 and 4,135.17 is: 6,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.42 : 21,785.12 = 4,135.17 : x
  2. Step 2: Convert to fraction form
    14,523.42/21,785.12 = 4,135.17/x
  3. Step 3: Cross multiply
    14,523.42x = 21,785.12 × 4,135.17
  4. Step 4: Simplify right side
    14,523.42x = 90,085,065.74
  5. Step 5: Solve for x
    x = 90,085,065.74/14,523.42
  6. Step 6: Final answer
    x = 6,202.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.