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Finding the Fourth Proportional to 13,756.56, 18,984.47 and 7,788.08

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Solution

The fourth proportional to 13,756.56, 18,984.47 and 7,788.08 is: 10,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.56 : 18,984.47 = 7,788.08 : x
  2. Step 2: Convert to fraction form
    13,756.56/18,984.47 = 7,788.08/x
  3. Step 3: Cross multiply
    13,756.56x = 18,984.47 × 7,788.08
  4. Step 4: Simplify right side
    13,756.56x = 147,852,437.25
  5. Step 5: Solve for x
    x = 147,852,437.25/13,756.56
  6. Step 6: Final answer
    x = 10,747.78

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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.