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Finding the Fourth Proportional to 12,888.24, 17,786.76 and 7,300.08

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Solution

The fourth proportional to 12,888.24, 17,786.76 and 7,300.08 is: 10,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.24 : 17,786.76 = 7,300.08 : x
  2. Step 2: Convert to fraction form
    12,888.24/17,786.76 = 7,300.08/x
  3. Step 3: Cross multiply
    12,888.24x = 17,786.76 × 7,300.08
  4. Step 4: Simplify right side
    12,888.24x = 129,844,770.94
  5. Step 5: Solve for x
    x = 129,844,770.94/12,888.24
  6. Step 6: Final answer
    x = 10,074.67

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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.