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Finding the Fourth Proportional to 14,697.06, 22,040.87 and 4,834.05

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Solution

The fourth proportional to 14,697.06, 22,040.87 and 4,834.05 is: 7,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.06 : 22,040.87 = 4,834.05 : x
  2. Step 2: Convert to fraction form
    14,697.06/22,040.87 = 4,834.05/x
  3. Step 3: Cross multiply
    14,697.06x = 22,040.87 × 4,834.05
  4. Step 4: Simplify right side
    14,697.06x = 106,546,643.45
  5. Step 5: Solve for x
    x = 106,546,643.45/14,697.06
  6. Step 6: Final answer
    x = 7,249.52

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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.