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Finding the Fourth Proportional to 23,202.28, 32,024.64 and 13,776.28

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Solution

The fourth proportional to 23,202.28, 32,024.64 and 13,776.28 is: 19,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202.28 : 32,024.64 = 13,776.28 : x
  2. Step 2: Convert to fraction form
    23,202.28/32,024.64 = 13,776.28/x
  3. Step 3: Cross multiply
    23,202.28x = 32,024.64 × 13,776.28
  4. Step 4: Simplify right side
    23,202.28x = 441,180,407.54
  5. Step 5: Solve for x
    x = 441,180,407.54/23,202.28
  6. Step 6: Final answer
    x = 19,014.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.