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Finding the Fourth Proportional to 12,765.37, 17,616.60 and 7,730.47

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Solution

The fourth proportional to 12,765.37, 17,616.60 and 7,730.47 is: 10,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.37 : 17,616.60 = 7,730.47 : x
  2. Step 2: Convert to fraction form
    12,765.37/17,616.60 = 7,730.47/x
  3. Step 3: Cross multiply
    12,765.37x = 17,616.60 × 7,730.47
  4. Step 4: Simplify right side
    12,765.37x = 136,184,597.80
  5. Step 5: Solve for x
    x = 136,184,597.80/12,765.37
  6. Step 6: Final answer
    x = 10,668.28

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