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Finding the Fourth Proportional to 24,459, 33,753.84 and 13,281

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Solution

The fourth proportional to 24,459, 33,753.84 and 13,281 is: 18,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,459 : 33,753.84 = 13,281 : x
  2. Step 2: Convert to fraction form
    24,459/33,753.84 = 13,281/x
  3. Step 3: Cross multiply
    24,459x = 33,753.84 × 13,281
  4. Step 4: Simplify right side
    24,459x = 448,284,749.04
  5. Step 5: Solve for x
    x = 448,284,749.04/24,459
  6. Step 6: Final answer
    x = 18,328.01

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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.