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Finding the Fourth Proportional to 13,114.34, 19,664.22 and 4,344.48

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Solution

The fourth proportional to 13,114.34, 19,664.22 and 4,344.48 is: 6,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.34 : 19,664.22 = 4,344.48 : x
  2. Step 2: Convert to fraction form
    13,114.34/19,664.22 = 4,344.48/x
  3. Step 3: Cross multiply
    13,114.34x = 19,664.22 × 4,344.48
  4. Step 4: Simplify right side
    13,114.34x = 85,430,810.51
  5. Step 5: Solve for x
    x = 85,430,810.51/13,114.34
  6. Step 6: Final answer
    x = 6,514.30

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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.