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Finding the Fourth Proportional to 13,090.50, 18,064.74 and 7,785.21

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Solution

The fourth proportional to 13,090.50, 18,064.74 and 7,785.21 is: 10,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.50 : 18,064.74 = 7,785.21 : x
  2. Step 2: Convert to fraction form
    13,090.50/18,064.74 = 7,785.21/x
  3. Step 3: Cross multiply
    13,090.50x = 18,064.74 × 7,785.21
  4. Step 4: Simplify right side
    13,090.50x = 140,637,794.50
  5. Step 5: Solve for x
    x = 140,637,794.50/13,090.50
  6. Step 6: Final answer
    x = 10,743.50

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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.