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Finding the Fourth Proportional to 14,469.72, 21,719.16 and 9,774.96

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Solution

The fourth proportional to 14,469.72, 21,719.16 and 9,774.96 is: 14,672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.72 : 21,719.16 = 9,774.96 : x
  2. Step 2: Convert to fraction form
    14,469.72/21,719.16 = 9,774.96/x
  3. Step 3: Cross multiply
    14,469.72x = 21,719.16 × 9,774.96
  4. Step 4: Simplify right side
    14,469.72x = 212,303,920.23
  5. Step 5: Solve for x
    x = 212,303,920.23/14,469.72
  6. Step 6: Final answer
    x = 14,672.29

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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.