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Finding the Fourth Proportional to 13,280.77, 18,327.49 and 7,230.98

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Solution

The fourth proportional to 13,280.77, 18,327.49 and 7,230.98 is: 9,978.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,280.77 : 18,327.49 = 7,230.98 : x
  2. Step 2: Convert to fraction form
    13,280.77/18,327.49 = 7,230.98/x
  3. Step 3: Cross multiply
    13,280.77x = 18,327.49 × 7,230.98
  4. Step 4: Simplify right side
    13,280.77x = 132,525,741.38
  5. Step 5: Solve for x
    x = 132,525,741.38/13,280.77
  6. Step 6: Final answer
    x = 9,978.77

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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.