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Finding the Fourth Proportional to 24,438, 33,724.44 and 13,260

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Solution

The fourth proportional to 24,438, 33,724.44 and 13,260 is: 18,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,438 : 33,724.44 = 13,260 : x
  2. Step 2: Convert to fraction form
    24,438/33,724.44 = 13,260/x
  3. Step 3: Cross multiply
    24,438x = 33,724.44 × 13,260
  4. Step 4: Simplify right side
    24,438x = 447,186,074.40
  5. Step 5: Solve for x
    x = 447,186,074.40/24,438
  6. Step 6: Final answer
    x = 18,298.80

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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.