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Finding the Fourth Proportional to 14,506.70, 21,747.29 and 5,747.76

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Solution

The fourth proportional to 14,506.70, 21,747.29 and 5,747.76 is: 8,616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.70 : 21,747.29 = 5,747.76 : x
  2. Step 2: Convert to fraction form
    14,506.70/21,747.29 = 5,747.76/x
  3. Step 3: Cross multiply
    14,506.70x = 21,747.29 × 5,747.76
  4. Step 4: Simplify right side
    14,506.70x = 124,998,174.83
  5. Step 5: Solve for x
    x = 124,998,174.83/14,506.70
  6. Step 6: Final answer
    x = 8,616.59

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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.