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Finding the Fourth Proportional to 14,137.44, 19,509.84 and 7,850.40

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Solution

The fourth proportional to 14,137.44, 19,509.84 and 7,850.40 is: 10,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.44 : 19,509.84 = 7,850.40 : x
  2. Step 2: Convert to fraction form
    14,137.44/19,509.84 = 7,850.40/x
  3. Step 3: Cross multiply
    14,137.44x = 19,509.84 × 7,850.40
  4. Step 4: Simplify right side
    14,137.44x = 153,160,047.94
  5. Step 5: Solve for x
    x = 153,160,047.94/14,137.44
  6. Step 6: Final answer
    x = 10,833.65

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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.