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Finding the Fourth Proportional to 19,613.88, 29,380.19 and 9,588.44

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Solution

The fourth proportional to 19,613.88, 29,380.19 and 9,588.44 is: 14,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,613.88 : 29,380.19 = 9,588.44 : x
  2. Step 2: Convert to fraction form
    19,613.88/29,380.19 = 9,588.44/x
  3. Step 3: Cross multiply
    19,613.88x = 29,380.19 × 9,588.44
  4. Step 4: Simplify right side
    19,613.88x = 281,710,214.51
  5. Step 5: Solve for x
    x = 281,710,214.51/19,613.88
  6. Step 6: Final answer
    x = 14,362.80

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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.