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Finding the Fourth Proportional to 13,412.23, 18,512.28 and 9,165.01

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Solution

The fourth proportional to 13,412.23, 18,512.28 and 9,165.01 is: 12,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.23 : 18,512.28 = 9,165.01 : x
  2. Step 2: Convert to fraction form
    13,412.23/18,512.28 = 9,165.01/x
  3. Step 3: Cross multiply
    13,412.23x = 18,512.28 × 9,165.01
  4. Step 4: Simplify right side
    13,412.23x = 169,665,150.67
  5. Step 5: Solve for x
    x = 169,665,150.67/13,412.23
  6. Step 6: Final answer
    x = 12,650.04

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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.