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Finding the Fourth Proportional to 11,652.29, 17,453.78 and 9,421.55

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Solution

The fourth proportional to 11,652.29, 17,453.78 and 9,421.55 is: 14,112.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.29 : 17,453.78 = 9,421.55 : x
  2. Step 2: Convert to fraction form
    11,652.29/17,453.78 = 9,421.55/x
  3. Step 3: Cross multiply
    11,652.29x = 17,453.78 × 9,421.55
  4. Step 4: Simplify right side
    11,652.29x = 164,441,627.36
  5. Step 5: Solve for x
    x = 164,441,627.36/11,652.29
  6. Step 6: Final answer
    x = 14,112.39

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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.