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Finding the Fourth Proportional to 16,214.38, 24,160.38 and 14,445.80

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Solution

The fourth proportional to 16,214.38, 24,160.38 and 14,445.80 is: 21,525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.38 : 24,160.38 = 14,445.80 : x
  2. Step 2: Convert to fraction form
    16,214.38/24,160.38 = 14,445.80/x
  3. Step 3: Cross multiply
    16,214.38x = 24,160.38 × 14,445.80
  4. Step 4: Simplify right side
    16,214.38x = 349,015,896.60
  5. Step 5: Solve for x
    x = 349,015,896.60/16,214.38
  6. Step 6: Final answer
    x = 21,525.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.