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Finding the Fourth Proportional to 13,597.30, 18,763.94 and 7,628.82

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Solution

The fourth proportional to 13,597.30, 18,763.94 and 7,628.82 is: 10,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.30 : 18,763.94 = 7,628.82 : x
  2. Step 2: Convert to fraction form
    13,597.30/18,763.94 = 7,628.82/x
  3. Step 3: Cross multiply
    13,597.30x = 18,763.94 × 7,628.82
  4. Step 4: Simplify right side
    13,597.30x = 143,146,720.75
  5. Step 5: Solve for x
    x = 143,146,720.75/13,597.30
  6. Step 6: Final answer
    x = 10,527.58

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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.