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Finding the Fourth Proportional to 13,858.59, 19,125.74 and 7,890.78

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Solution

The fourth proportional to 13,858.59, 19,125.74 and 7,890.78 is: 10,889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.59 : 19,125.74 = 7,890.78 : x
  2. Step 2: Convert to fraction form
    13,858.59/19,125.74 = 7,890.78/x
  3. Step 3: Cross multiply
    13,858.59x = 19,125.74 × 7,890.78
  4. Step 4: Simplify right side
    13,858.59x = 150,916,967.22
  5. Step 5: Solve for x
    x = 150,916,967.22/13,858.59
  6. Step 6: Final answer
    x = 10,889.78

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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.