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Finding the Fourth Proportional to 23,662.78, 32,655.26 and 12,907.84

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Solution

The fourth proportional to 23,662.78, 32,655.26 and 12,907.84 is: 17,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.78 : 32,655.26 = 12,907.84 : x
  2. Step 2: Convert to fraction form
    23,662.78/32,655.26 = 12,907.84/x
  3. Step 3: Cross multiply
    23,662.78x = 32,655.26 × 12,907.84
  4. Step 4: Simplify right side
    23,662.78x = 421,508,706.55
  5. Step 5: Solve for x
    x = 421,508,706.55/23,662.78
  6. Step 6: Final answer
    x = 17,813.15

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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.