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Finding the Fourth Proportional to 23,489.30, 32,415.48 and 13,419.08

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Solution

The fourth proportional to 23,489.30, 32,415.48 and 13,419.08 is: 18,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,489.30 : 32,415.48 = 13,419.08 : x
  2. Step 2: Convert to fraction form
    23,489.30/32,415.48 = 13,419.08/x
  3. Step 3: Cross multiply
    23,489.30x = 32,415.48 × 13,419.08
  4. Step 4: Simplify right side
    23,489.30x = 434,985,757.28
  5. Step 5: Solve for x
    x = 434,985,757.28/23,489.30
  6. Step 6: Final answer
    x = 18,518.47

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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.