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Finding the Fourth Proportional to 24,391, 33,659.94 and 13,213

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Solution

The fourth proportional to 24,391, 33,659.94 and 13,213 is: 18,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,391 : 33,659.94 = 13,213 : x
  2. Step 2: Convert to fraction form
    24,391/33,659.94 = 13,213/x
  3. Step 3: Cross multiply
    24,391x = 33,659.94 × 13,213
  4. Step 4: Simplify right side
    24,391x = 444,748,787.22
  5. Step 5: Solve for x
    x = 444,748,787.22/24,391
  6. Step 6: Final answer
    x = 18,234.14

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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.