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Finding the Fourth Proportional to 19,121.96, 28,661.44 and 9,735.63

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Solution

The fourth proportional to 19,121.96, 28,661.44 and 9,735.63 is: 14,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,121.96 : 28,661.44 = 9,735.63 : x
  2. Step 2: Convert to fraction form
    19,121.96/28,661.44 = 9,735.63/x
  3. Step 3: Cross multiply
    19,121.96x = 28,661.44 × 9,735.63
  4. Step 4: Simplify right side
    19,121.96x = 279,037,175.11
  5. Step 5: Solve for x
    x = 279,037,175.11/19,121.96
  6. Step 6: Final answer
    x = 14,592.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.