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Finding the Fourth Proportional to 24,021.32, 33,147.24 and 13,409

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Solution

The fourth proportional to 24,021.32, 33,147.24 and 13,409 is: 18,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,021.32 : 33,147.24 = 13,409 : x
  2. Step 2: Convert to fraction form
    24,021.32/33,147.24 = 13,409/x
  3. Step 3: Cross multiply
    24,021.32x = 33,147.24 × 13,409
  4. Step 4: Simplify right side
    24,021.32x = 444,471,341.16
  5. Step 5: Solve for x
    x = 444,471,341.16/24,021.32
  6. Step 6: Final answer
    x = 18,503.20

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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.