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Finding the Fourth Proportional to 19,201, 28,803.15 and 5,350

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Solution

The fourth proportional to 19,201, 28,803.15 and 5,350 is: 8,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,201 : 28,803.15 = 5,350 : x
  2. Step 2: Convert to fraction form
    19,201/28,803.15 = 5,350/x
  3. Step 3: Cross multiply
    19,201x = 28,803.15 × 5,350
  4. Step 4: Simplify right side
    19,201x = 154,096,852.50
  5. Step 5: Solve for x
    x = 154,096,852.50/19,201
  6. Step 6: Final answer
    x = 8,025.46

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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.