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Finding the Fourth Proportional to 13,613.48, 18,784.22 and 7,562.75

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Solution

The fourth proportional to 13,613.48, 18,784.22 and 7,562.75 is: 10,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.48 : 18,784.22 = 7,562.75 : x
  2. Step 2: Convert to fraction form
    13,613.48/18,784.22 = 7,562.75/x
  3. Step 3: Cross multiply
    13,613.48x = 18,784.22 × 7,562.75
  4. Step 4: Simplify right side
    13,613.48x = 142,060,228.07
  5. Step 5: Solve for x
    x = 142,060,228.07/13,613.48
  6. Step 6: Final answer
    x = 10,435.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.