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Finding the Fourth Proportional to 13,757.45, 18,985.74 and 7,789

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Solution

The fourth proportional to 13,757.45, 18,985.74 and 7,789 is: 10,749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.45 : 18,985.74 = 7,789 : x
  2. Step 2: Convert to fraction form
    13,757.45/18,985.74 = 7,789/x
  3. Step 3: Cross multiply
    13,757.45x = 18,985.74 × 7,789
  4. Step 4: Simplify right side
    13,757.45x = 147,879,928.86
  5. Step 5: Solve for x
    x = 147,879,928.86/13,757.45
  6. Step 6: Final answer
    x = 10,749.08

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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.