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Finding the Fourth Proportional to 23,679.64, 32,678.13 and 13,069.05

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Solution

The fourth proportional to 23,679.64, 32,678.13 and 13,069.05 is: 18,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,679.64 : 32,678.13 = 13,069.05 : x
  2. Step 2: Convert to fraction form
    23,679.64/32,678.13 = 13,069.05/x
  3. Step 3: Cross multiply
    23,679.64x = 32,678.13 × 13,069.05
  4. Step 4: Simplify right side
    23,679.64x = 427,072,114.88
  5. Step 5: Solve for x
    x = 427,072,114.88/23,679.64
  6. Step 6: Final answer
    x = 18,035.41

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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.