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Finding the Fourth Proportional to 13,756.88, 18,984.76 and 7,788.54

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Solution

The fourth proportional to 13,756.88, 18,984.76 and 7,788.54 is: 10,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.88 : 18,984.76 = 7,788.54 : x
  2. Step 2: Convert to fraction form
    13,756.88/18,984.76 = 7,788.54/x
  3. Step 3: Cross multiply
    13,756.88x = 18,984.76 × 7,788.54
  4. Step 4: Simplify right side
    13,756.88x = 147,863,562.65
  5. Step 5: Solve for x
    x = 147,863,562.65/13,756.88
  6. Step 6: Final answer
    x = 10,748.34

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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.