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Finding the Fourth Proportional to 13,613.15, 18,784.74 and 7,644.77

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Solution

The fourth proportional to 13,613.15, 18,784.74 and 7,644.77 is: 10,548.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.15 : 18,784.74 = 7,644.77 : x
  2. Step 2: Convert to fraction form
    13,613.15/18,784.74 = 7,644.77/x
  3. Step 3: Cross multiply
    13,613.15x = 18,784.74 × 7,644.77
  4. Step 4: Simplify right side
    13,613.15x = 143,604,922.89
  5. Step 5: Solve for x
    x = 143,604,922.89/13,613.15
  6. Step 6: Final answer
    x = 10,548.99

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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.