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Finding the Fourth Proportional to 13,898.10, 20,846.40 and 3,509.94

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Solution

The fourth proportional to 13,898.10, 20,846.40 and 3,509.94 is: 5,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.10 : 20,846.40 = 3,509.94 : x
  2. Step 2: Convert to fraction form
    13,898.10/20,846.40 = 3,509.94/x
  3. Step 3: Cross multiply
    13,898.10x = 20,846.40 × 3,509.94
  4. Step 4: Simplify right side
    13,898.10x = 73,169,613.22
  5. Step 5: Solve for x
    x = 73,169,613.22/13,898.10
  6. Step 6: Final answer
    x = 5,264.72

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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.