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Finding the Fourth Proportional to 16,114.40, 24,236.40 and 14,429.60

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Solution

The fourth proportional to 16,114.40, 24,236.40 and 14,429.60 is: 21,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.40 : 24,236.40 = 14,429.60 : x
  2. Step 2: Convert to fraction form
    16,114.40/24,236.40 = 14,429.60/x
  3. Step 3: Cross multiply
    16,114.40x = 24,236.40 × 14,429.60
  4. Step 4: Simplify right side
    16,114.40x = 349,721,557.44
  5. Step 5: Solve for x
    x = 349,721,557.44/16,114.40
  6. Step 6: Final answer
    x = 21,702.43

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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.