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Finding the Fourth Proportional to 13,145.64, 18,140.94 and 7,840.68

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Solution

The fourth proportional to 13,145.64, 18,140.94 and 7,840.68 is: 10,820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.64 : 18,140.94 = 7,840.68 : x
  2. Step 2: Convert to fraction form
    13,145.64/18,140.94 = 7,840.68/x
  3. Step 3: Cross multiply
    13,145.64x = 18,140.94 × 7,840.68
  4. Step 4: Simplify right side
    13,145.64x = 142,237,305.44
  5. Step 5: Solve for x
    x = 142,237,305.44/13,145.64
  6. Step 6: Final answer
    x = 10,820.11

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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.