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Finding the Fourth Proportional to 16,419.34, 24,634.68 and 9,014.32

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Solution

The fourth proportional to 16,419.34, 24,634.68 and 9,014.32 is: 13,524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.34 : 24,634.68 = 9,014.32 : x
  2. Step 2: Convert to fraction form
    16,419.34/24,634.68 = 9,014.32/x
  3. Step 3: Cross multiply
    16,419.34x = 24,634.68 × 9,014.32
  4. Step 4: Simplify right side
    16,419.34x = 222,064,888.62
  5. Step 5: Solve for x
    x = 222,064,888.62/16,419.34
  6. Step 6: Final answer
    x = 13,524.59

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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.