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Finding the Fourth Proportional to 13,833.88, 19,094.82 and 7,868.86

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Solution

The fourth proportional to 13,833.88, 19,094.82 and 7,868.86 is: 10,861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.88 : 19,094.82 = 7,868.86 : x
  2. Step 2: Convert to fraction form
    13,833.88/19,094.82 = 7,868.86/x
  3. Step 3: Cross multiply
    13,833.88x = 19,094.82 × 7,868.86
  4. Step 4: Simplify right side
    13,833.88x = 150,254,465.31
  5. Step 5: Solve for x
    x = 150,254,465.31/13,833.88
  6. Step 6: Final answer
    x = 10,861.34

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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.