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Finding the Fourth Proportional to 16,342.44, 24,523.02 and 13,602.30

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Solution

The fourth proportional to 16,342.44, 24,523.02 and 13,602.30 is: 20,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.44 : 24,523.02 = 13,602.30 : x
  2. Step 2: Convert to fraction form
    16,342.44/24,523.02 = 13,602.30/x
  3. Step 3: Cross multiply
    16,342.44x = 24,523.02 × 13,602.30
  4. Step 4: Simplify right side
    16,342.44x = 333,569,474.95
  5. Step 5: Solve for x
    x = 333,569,474.95/16,342.44
  6. Step 6: Final answer
    x = 20,411.24

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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.