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Finding the Fourth Proportional to 13,316.73, 19,986.84 and 7,762.43

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Solution

The fourth proportional to 13,316.73, 19,986.84 and 7,762.43 is: 11,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,316.73 : 19,986.84 = 7,762.43 : x
  2. Step 2: Convert to fraction form
    13,316.73/19,986.84 = 7,762.43/x
  3. Step 3: Cross multiply
    13,316.73x = 19,986.84 × 7,762.43
  4. Step 4: Simplify right side
    13,316.73x = 155,146,346.49
  5. Step 5: Solve for x
    x = 155,146,346.49/13,316.73
  6. Step 6: Final answer
    x = 11,650.48

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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.