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Finding the Fourth Proportional to 24,402, 33,674.76 and 13,224

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Solution

The fourth proportional to 24,402, 33,674.76 and 13,224 is: 18,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,402 : 33,674.76 = 13,224 : x
  2. Step 2: Convert to fraction form
    24,402/33,674.76 = 13,224/x
  3. Step 3: Cross multiply
    24,402x = 33,674.76 × 13,224
  4. Step 4: Simplify right side
    24,402x = 445,315,026.24
  5. Step 5: Solve for x
    x = 445,315,026.24/24,402
  6. Step 6: Final answer
    x = 18,249.12

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Why These Related Problems?

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