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Finding the Fourth Proportional to 16,810.87, 25,204.62 and 7,445.78

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Solution

The fourth proportional to 16,810.87, 25,204.62 and 7,445.78 is: 11,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,810.87 : 25,204.62 = 7,445.78 : x
  2. Step 2: Convert to fraction form
    16,810.87/25,204.62 = 7,445.78/x
  3. Step 3: Cross multiply
    16,810.87x = 25,204.62 × 7,445.78
  4. Step 4: Simplify right side
    16,810.87x = 187,668,055.50
  5. Step 5: Solve for x
    x = 187,668,055.50/16,810.87
  6. Step 6: Final answer
    x = 11,163.50

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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.