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Finding the Fourth Proportional to 14,965.31, 22,448.00 and 6,200.44

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Solution

The fourth proportional to 14,965.31, 22,448.00 and 6,200.44 is: 9,300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.31 : 22,448.00 = 6,200.44 : x
  2. Step 2: Convert to fraction form
    14,965.31/22,448.00 = 6,200.44/x
  3. Step 3: Cross multiply
    14,965.31x = 22,448.00 × 6,200.44
  4. Step 4: Simplify right side
    14,965.31x = 139,187,436.50
  5. Step 5: Solve for x
    x = 139,187,436.50/14,965.31
  6. Step 6: Final answer
    x = 9,300.67

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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.