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Finding the Fourth Proportional to 13,200.57, 18,216.63 and 7,232.22

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Solution

The fourth proportional to 13,200.57, 18,216.63 and 7,232.22 is: 9,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.57 : 18,216.63 = 7,232.22 : x
  2. Step 2: Convert to fraction form
    13,200.57/18,216.63 = 7,232.22/x
  3. Step 3: Cross multiply
    13,200.57x = 18,216.63 × 7,232.22
  4. Step 4: Simplify right side
    13,200.57x = 131,746,675.82
  5. Step 5: Solve for x
    x = 131,746,675.82/13,200.57
  6. Step 6: Final answer
    x = 9,980.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.