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Finding the Fourth Proportional to 13,854.89, 19,119.03 and 7,886.54

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Solution

The fourth proportional to 13,854.89, 19,119.03 and 7,886.54 is: 10,883.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.89 : 19,119.03 = 7,886.54 : x
  2. Step 2: Convert to fraction form
    13,854.89/19,119.03 = 7,886.54/x
  3. Step 3: Cross multiply
    13,854.89x = 19,119.03 × 7,886.54
  4. Step 4: Simplify right side
    13,854.89x = 150,782,994.86
  5. Step 5: Solve for x
    x = 150,782,994.86/13,854.89
  6. Step 6: Final answer
    x = 10,883.02

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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.