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Finding the Fourth Proportional to 13,635.32, 20,430.96 and 11,448.32

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Solution

The fourth proportional to 13,635.32, 20,430.96 and 11,448.32 is: 17,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.32 : 20,430.96 = 11,448.32 : x
  2. Step 2: Convert to fraction form
    13,635.32/20,430.96 = 11,448.32/x
  3. Step 3: Cross multiply
    13,635.32x = 20,430.96 × 11,448.32
  4. Step 4: Simplify right side
    13,635.32x = 233,900,065.83
  5. Step 5: Solve for x
    x = 233,900,065.83/13,635.32
  6. Step 6: Final answer
    x = 17,153.99

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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.