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Finding the Fourth Proportional to 13,089.47, 19,627.65 and 6,519.29

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Solution

The fourth proportional to 13,089.47, 19,627.65 and 6,519.29 is: 9,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.47 : 19,627.65 = 6,519.29 : x
  2. Step 2: Convert to fraction form
    13,089.47/19,627.65 = 6,519.29/x
  3. Step 3: Cross multiply
    13,089.47x = 19,627.65 × 6,519.29
  4. Step 4: Simplify right side
    13,089.47x = 127,958,244.23
  5. Step 5: Solve for x
    x = 127,958,244.23/13,089.47
  6. Step 6: Final answer
    x = 9,775.67

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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.