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Finding the Fourth Proportional to 15,200.24, 22,801.20 and 4,107.20

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Solution

The fourth proportional to 15,200.24, 22,801.20 and 4,107.20 is: 6,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.24 : 22,801.20 = 4,107.20 : x
  2. Step 2: Convert to fraction form
    15,200.24/22,801.20 = 4,107.20/x
  3. Step 3: Cross multiply
    15,200.24x = 22,801.20 × 4,107.20
  4. Step 4: Simplify right side
    15,200.24x = 93,649,088.64
  5. Step 5: Solve for x
    x = 93,649,088.64/15,200.24
  6. Step 6: Final answer
    x = 6,161.03

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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.