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Finding the Fourth Proportional to 14,134.34, 19,504.63 and 7,846.31

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Solution

The fourth proportional to 14,134.34, 19,504.63 and 7,846.31 is: 10,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.34 : 19,504.63 = 7,846.31 : x
  2. Step 2: Convert to fraction form
    14,134.34/19,504.63 = 7,846.31/x
  3. Step 3: Cross multiply
    14,134.34x = 19,504.63 × 7,846.31
  4. Step 4: Simplify right side
    14,134.34x = 153,039,431.98
  5. Step 5: Solve for x
    x = 153,039,431.98/14,134.34
  6. Step 6: Final answer
    x = 10,827.49

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