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Finding the Fourth Proportional to 23,367, 32,246.40 and 12,756.63

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Solution

The fourth proportional to 23,367, 32,246.40 and 12,756.63 is: 17,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,367 : 32,246.40 = 12,756.63 : x
  2. Step 2: Convert to fraction form
    23,367/32,246.40 = 12,756.63/x
  3. Step 3: Cross multiply
    23,367x = 32,246.40 × 12,756.63
  4. Step 4: Simplify right side
    23,367x = 411,355,393.63
  5. Step 5: Solve for x
    x = 411,355,393.63/23,367
  6. Step 6: Final answer
    x = 17,604.12

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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.