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Finding the Fourth Proportional to 13,765.47, 20,615.09 and 9,537.07

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Solution

The fourth proportional to 13,765.47, 20,615.09 and 9,537.07 is: 14,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.47 : 20,615.09 = 9,537.07 : x
  2. Step 2: Convert to fraction form
    13,765.47/20,615.09 = 9,537.07/x
  3. Step 3: Cross multiply
    13,765.47x = 20,615.09 × 9,537.07
  4. Step 4: Simplify right side
    13,765.47x = 196,607,453.31
  5. Step 5: Solve for x
    x = 196,607,453.31/13,765.47
  6. Step 6: Final answer
    x = 14,282.65

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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.