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Finding the Fourth Proportional to 13,541.16, 20,297.42 and 4,653.70

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Solution

The fourth proportional to 13,541.16, 20,297.42 and 4,653.70 is: 6,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,541.16 : 20,297.42 = 4,653.70 : x
  2. Step 2: Convert to fraction form
    13,541.16/20,297.42 = 4,653.70/x
  3. Step 3: Cross multiply
    13,541.16x = 20,297.42 × 4,653.70
  4. Step 4: Simplify right side
    13,541.16x = 94,458,103.45
  5. Step 5: Solve for x
    x = 94,458,103.45/13,541.16
  6. Step 6: Final answer
    x = 6,975.63

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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.