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Finding the Fourth Proportional to 13,090.26, 19,644.02 and 6,165.30

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Solution

The fourth proportional to 13,090.26, 19,644.02 and 6,165.30 is: 9,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.26 : 19,644.02 = 6,165.30 : x
  2. Step 2: Convert to fraction form
    13,090.26/19,644.02 = 6,165.30/x
  3. Step 3: Cross multiply
    13,090.26x = 19,644.02 × 6,165.30
  4. Step 4: Simplify right side
    13,090.26x = 121,111,276.51
  5. Step 5: Solve for x
    x = 121,111,276.51/13,090.26
  6. Step 6: Final answer
    x = 9,252.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.