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Finding the Fourth Proportional to 13,934.16, 20,896.92 and 4,698

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Solution

The fourth proportional to 13,934.16, 20,896.92 and 4,698 is: 7,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.16 : 20,896.92 = 4,698 : x
  2. Step 2: Convert to fraction form
    13,934.16/20,896.92 = 4,698/x
  3. Step 3: Cross multiply
    13,934.16x = 20,896.92 × 4,698
  4. Step 4: Simplify right side
    13,934.16x = 98,173,730.16
  5. Step 5: Solve for x
    x = 98,173,730.16/13,934.16
  6. Step 6: Final answer
    x = 7,045.54

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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.