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Finding the Fourth Proportional to 22,698.24, 34,048.44 and 7,116

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Solution

The fourth proportional to 22,698.24, 34,048.44 and 7,116 is: 10,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,698.24 : 34,048.44 = 7,116 : x
  2. Step 2: Convert to fraction form
    22,698.24/34,048.44 = 7,116/x
  3. Step 3: Cross multiply
    22,698.24x = 34,048.44 × 7,116
  4. Step 4: Simplify right side
    22,698.24x = 242,288,699.04
  5. Step 5: Solve for x
    x = 242,288,699.04/22,698.24
  6. Step 6: Final answer
    x = 10,674.34

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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.