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Finding the Fourth Proportional to 14,674.72, 21,986.16 and 14,311.84

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Solution

The fourth proportional to 14,674.72, 21,986.16 and 14,311.84 is: 21,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,674.72 : 21,986.16 = 14,311.84 : x
  2. Step 2: Convert to fraction form
    14,674.72/21,986.16 = 14,311.84/x
  3. Step 3: Cross multiply
    14,674.72x = 21,986.16 × 14,311.84
  4. Step 4: Simplify right side
    14,674.72x = 314,662,404.13
  5. Step 5: Solve for x
    x = 314,662,404.13/14,674.72
  6. Step 6: Final answer
    x = 21,442.48

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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.