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Finding the Fourth Proportional to 14,542.86, 21,814.74 and 4,013.06

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Solution

The fourth proportional to 14,542.86, 21,814.74 and 4,013.06 is: 6,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.86 : 21,814.74 = 4,013.06 : x
  2. Step 2: Convert to fraction form
    14,542.86/21,814.74 = 4,013.06/x
  3. Step 3: Cross multiply
    14,542.86x = 21,814.74 × 4,013.06
  4. Step 4: Simplify right side
    14,542.86x = 87,543,915.04
  5. Step 5: Solve for x
    x = 87,543,915.04/14,542.86
  6. Step 6: Final answer
    x = 6,019.72

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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.