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Finding the Fourth Proportional to 21,524.28, 29,703.09 and 13,140.78

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Solution

The fourth proportional to 21,524.28, 29,703.09 and 13,140.78 is: 18,134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.28 : 29,703.09 = 13,140.78 : x
  2. Step 2: Convert to fraction form
    21,524.28/29,703.09 = 13,140.78/x
  3. Step 3: Cross multiply
    21,524.28x = 29,703.09 × 13,140.78
  4. Step 4: Simplify right side
    21,524.28x = 390,321,771.01
  5. Step 5: Solve for x
    x = 390,321,771.01/21,524.28
  6. Step 6: Final answer
    x = 18,134.02

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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.