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Finding the Fourth Proportional to 24,015, 33,137.64 and 13,405.08

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Solution

The fourth proportional to 24,015, 33,137.64 and 13,405.08 is: 18,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,015 : 33,137.64 = 13,405.08 : x
  2. Step 2: Convert to fraction form
    24,015/33,137.64 = 13,405.08/x
  3. Step 3: Cross multiply
    24,015x = 33,137.64 × 13,405.08
  4. Step 4: Simplify right side
    24,015x = 444,212,715.21
  5. Step 5: Solve for x
    x = 444,212,715.21/24,015
  6. Step 6: Final answer
    x = 18,497.30

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1.5x scale

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.