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Finding the Fourth Proportional to 14,652.32, 21,984.60 and 9,110.33

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Solution

The fourth proportional to 14,652.32, 21,984.60 and 9,110.33 is: 13,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.32 : 21,984.60 = 9,110.33 : x
  2. Step 2: Convert to fraction form
    14,652.32/21,984.60 = 9,110.33/x
  3. Step 3: Cross multiply
    14,652.32x = 21,984.60 × 9,110.33
  4. Step 4: Simplify right side
    14,652.32x = 200,286,851.00
  5. Step 5: Solve for x
    x = 200,286,851.00/14,652.32
  6. Step 6: Final answer
    x = 13,669.30

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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.