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Finding the Fourth Proportional to 13,642.24, 20,463.36 and 9,024.16

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Solution

The fourth proportional to 13,642.24, 20,463.36 and 9,024.16 is: 13,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.24 : 20,463.36 = 9,024.16 : x
  2. Step 2: Convert to fraction form
    13,642.24/20,463.36 = 9,024.16/x
  3. Step 3: Cross multiply
    13,642.24x = 20,463.36 × 9,024.16
  4. Step 4: Simplify right side
    13,642.24x = 184,664,634.78
  5. Step 5: Solve for x
    x = 184,664,634.78/13,642.24
  6. Step 6: Final answer
    x = 13,536.24

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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.