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Finding the Fourth Proportional to 13,754.08, 18,980.49 and 7,785.64

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Solution

The fourth proportional to 13,754.08, 18,980.49 and 7,785.64 is: 10,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.08 : 18,980.49 = 7,785.64 : x
  2. Step 2: Convert to fraction form
    13,754.08/18,980.49 = 7,785.64/x
  3. Step 3: Cross multiply
    13,754.08x = 18,980.49 × 7,785.64
  4. Step 4: Simplify right side
    13,754.08x = 147,775,262.16
  5. Step 5: Solve for x
    x = 147,775,262.16/13,754.08
  6. Step 6: Final answer
    x = 10,744.10

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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.