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Finding the Fourth Proportional to 14,098.20, 21,148.74 and 4,863

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Solution

The fourth proportional to 14,098.20, 21,148.74 and 4,863 is: 7,295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.20 : 21,148.74 = 4,863 : x
  2. Step 2: Convert to fraction form
    14,098.20/21,148.74 = 4,863/x
  3. Step 3: Cross multiply
    14,098.20x = 21,148.74 × 4,863
  4. Step 4: Simplify right side
    14,098.20x = 102,846,322.62
  5. Step 5: Solve for x
    x = 102,846,322.62/14,098.20
  6. Step 6: Final answer
    x = 7,295.00

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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.