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Finding the Fourth Proportional to 24,493, 33,800.88 and 13,315

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Solution

The fourth proportional to 24,493, 33,800.88 and 13,315 is: 18,374.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493 : 33,800.88 = 13,315 : x
  2. Step 2: Convert to fraction form
    24,493/33,800.88 = 13,315/x
  3. Step 3: Cross multiply
    24,493x = 33,800.88 × 13,315
  4. Step 4: Simplify right side
    24,493x = 450,058,717.20
  5. Step 5: Solve for x
    x = 450,058,717.20/24,493
  6. Step 6: Final answer
    x = 18,374.99

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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.