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Finding the Fourth Proportional to 19,596.44, 29,390.74 and 9,596.88

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Solution

The fourth proportional to 19,596.44, 29,390.74 and 9,596.88 is: 14,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,596.44 : 29,390.74 = 9,596.88 : x
  2. Step 2: Convert to fraction form
    19,596.44/29,390.74 = 9,596.88/x
  3. Step 3: Cross multiply
    19,596.44x = 29,390.74 × 9,596.88
  4. Step 4: Simplify right side
    19,596.44x = 282,059,404.89
  5. Step 5: Solve for x
    x = 282,059,404.89/19,596.44
  6. Step 6: Final answer
    x = 14,393.40

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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.