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Finding the Fourth Proportional to 14,133.50, 19,504.24 and 7,846.46

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Solution

The fourth proportional to 14,133.50, 19,504.24 and 7,846.46 is: 10,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133.50 : 19,504.24 = 7,846.46 : x
  2. Step 2: Convert to fraction form
    14,133.50/19,504.24 = 7,846.46/x
  3. Step 3: Cross multiply
    14,133.50x = 19,504.24 × 7,846.46
  4. Step 4: Simplify right side
    14,133.50x = 153,039,238.99
  5. Step 5: Solve for x
    x = 153,039,238.99/14,133.50
  6. Step 6: Final answer
    x = 10,828.12

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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.