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Finding the Fourth Proportional to 13,460.52, 20,176.56 and 5,135.16

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Solution

The fourth proportional to 13,460.52, 20,176.56 and 5,135.16 is: 7,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.52 : 20,176.56 = 5,135.16 : x
  2. Step 2: Convert to fraction form
    13,460.52/20,176.56 = 5,135.16/x
  3. Step 3: Cross multiply
    13,460.52x = 20,176.56 × 5,135.16
  4. Step 4: Simplify right side
    13,460.52x = 103,609,863.85
  5. Step 5: Solve for x
    x = 103,609,863.85/13,460.52
  6. Step 6: Final answer
    x = 7,697.32

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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.