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Finding the Fourth Proportional to 19,197, 28,792.16 and 5,157.98

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Solution

The fourth proportional to 19,197, 28,792.16 and 5,157.98 is: 7,736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,197 : 28,792.16 = 5,157.98 : x
  2. Step 2: Convert to fraction form
    19,197/28,792.16 = 5,157.98/x
  3. Step 3: Cross multiply
    19,197x = 28,792.16 × 5,157.98
  4. Step 4: Simplify right side
    19,197x = 148,509,343.00
  5. Step 5: Solve for x
    x = 148,509,343.00/19,197
  6. Step 6: Final answer
    x = 7,736.07

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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.