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Finding the Fourth Proportional to 13,418.16, 20,128.08 and 5,096.40

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Solution

The fourth proportional to 13,418.16, 20,128.08 and 5,096.40 is: 7,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,418.16 : 20,128.08 = 5,096.40 : x
  2. Step 2: Convert to fraction form
    13,418.16/20,128.08 = 5,096.40/x
  3. Step 3: Cross multiply
    13,418.16x = 20,128.08 × 5,096.40
  4. Step 4: Simplify right side
    13,418.16x = 102,580,746.91
  5. Step 5: Solve for x
    x = 102,580,746.91/13,418.16
  6. Step 6: Final answer
    x = 7,644.92

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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.