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Finding the Fourth Proportional to 16,815.90, 25,234.65 and 9,795.90

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Solution

The fourth proportional to 16,815.90, 25,234.65 and 9,795.90 is: 14,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,815.90 : 25,234.65 = 9,795.90 : x
  2. Step 2: Convert to fraction form
    16,815.90/25,234.65 = 9,795.90/x
  3. Step 3: Cross multiply
    16,815.90x = 25,234.65 × 9,795.90
  4. Step 4: Simplify right side
    16,815.90x = 247,196,107.94
  5. Step 5: Solve for x
    x = 247,196,107.94/16,815.90
  6. Step 6: Final answer
    x = 14,700.14

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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.