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Finding the Fourth Proportional to 14,408.50, 19,883.73 and 7,784.50

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Solution

The fourth proportional to 14,408.50, 19,883.73 and 7,784.50 is: 10,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.50 : 19,883.73 = 7,784.50 : x
  2. Step 2: Convert to fraction form
    14,408.50/19,883.73 = 7,784.50/x
  3. Step 3: Cross multiply
    14,408.50x = 19,883.73 × 7,784.50
  4. Step 4: Simplify right side
    14,408.50x = 154,784,896.19
  5. Step 5: Solve for x
    x = 154,784,896.19/14,408.50
  6. Step 6: Final answer
    x = 10,742.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.