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Finding the Fourth Proportional to 23,368, 32,247.78 and 12,757.63

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Solution

The fourth proportional to 23,368, 32,247.78 and 12,757.63 is: 17,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,368 : 32,247.78 = 12,757.63 : x
  2. Step 2: Convert to fraction form
    23,368/32,247.78 = 12,757.63/x
  3. Step 3: Cross multiply
    23,368x = 32,247.78 × 12,757.63
  4. Step 4: Simplify right side
    23,368x = 411,405,245.56
  5. Step 5: Solve for x
    x = 411,405,245.56/23,368
  6. Step 6: Final answer
    x = 17,605.50

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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.