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Finding the Fourth Proportional to 13,826.50, 19,079.96 and 7,858.08

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Solution

The fourth proportional to 13,826.50, 19,079.96 and 7,858.08 is: 10,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.50 : 19,079.96 = 7,858.08 : x
  2. Step 2: Convert to fraction form
    13,826.50/19,079.96 = 7,858.08/x
  3. Step 3: Cross multiply
    13,826.50x = 19,079.96 × 7,858.08
  4. Step 4: Simplify right side
    13,826.50x = 149,931,812.79
  5. Step 5: Solve for x
    x = 149,931,812.79/13,826.50
  6. Step 6: Final answer
    x = 10,843.80

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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.