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Finding the Fourth Proportional to 19,706.48, 29,558.89 and 9,172.88

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Solution

The fourth proportional to 19,706.48, 29,558.89 and 9,172.88 is: 13,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.48 : 29,558.89 = 9,172.88 : x
  2. Step 2: Convert to fraction form
    19,706.48/29,558.89 = 9,172.88/x
  3. Step 3: Cross multiply
    19,706.48x = 29,558.89 × 9,172.88
  4. Step 4: Simplify right side
    19,706.48x = 271,140,150.90
  5. Step 5: Solve for x
    x = 271,140,150.90/19,706.48
  6. Step 6: Final answer
    x = 13,758.93

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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.