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Finding the Fourth Proportional to 11,737.70, 17,484.26 and 11,114.40

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Solution

The fourth proportional to 11,737.70, 17,484.26 and 11,114.40 is: 16,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.70 : 17,484.26 = 11,114.40 : x
  2. Step 2: Convert to fraction form
    11,737.70/17,484.26 = 11,114.40/x
  3. Step 3: Cross multiply
    11,737.70x = 17,484.26 × 11,114.40
  4. Step 4: Simplify right side
    11,737.70x = 194,327,059.34
  5. Step 5: Solve for x
    x = 194,327,059.34/11,737.70
  6. Step 6: Final answer
    x = 16,555.80

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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.