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Finding the Fourth Proportional to 14,134.25, 19,504.28 and 7,846.13

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Solution

The fourth proportional to 14,134.25, 19,504.28 and 7,846.13 is: 10,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.25 : 19,504.28 = 7,846.13 : x
  2. Step 2: Convert to fraction form
    14,134.25/19,504.28 = 7,846.13/x
  3. Step 3: Cross multiply
    14,134.25x = 19,504.28 × 7,846.13
  4. Step 4: Simplify right side
    14,134.25x = 153,033,116.44
  5. Step 5: Solve for x
    x = 153,033,116.44/14,134.25
  6. Step 6: Final answer
    x = 10,827.11

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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.