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Finding the Fourth Proportional to 13,119.90, 19,646.73 and 7,851.66

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Solution

The fourth proportional to 13,119.90, 19,646.73 and 7,851.66 is: 11,757.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,119.90 : 19,646.73 = 7,851.66 : x
  2. Step 2: Convert to fraction form
    13,119.90/19,646.73 = 7,851.66/x
  3. Step 3: Cross multiply
    13,119.90x = 19,646.73 × 7,851.66
  4. Step 4: Simplify right side
    13,119.90x = 154,259,444.07
  5. Step 5: Solve for x
    x = 154,259,444.07/13,119.90
  6. Step 6: Final answer
    x = 11,757.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.