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Finding the Fourth Proportional to 13,770.76, 19,025.94 and 9,597.64

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Solution

The fourth proportional to 13,770.76, 19,025.94 and 9,597.64 is: 13,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.76 : 19,025.94 = 9,597.64 : x
  2. Step 2: Convert to fraction form
    13,770.76/19,025.94 = 9,597.64/x
  3. Step 3: Cross multiply
    13,770.76x = 19,025.94 × 9,597.64
  4. Step 4: Simplify right side
    13,770.76x = 182,604,122.78
  5. Step 5: Solve for x
    x = 182,604,122.78/13,770.76
  6. Step 6: Final answer
    x = 13,260.28

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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.