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Finding the Fourth Proportional to 23,388, 32,275.44 and 13,452

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Solution

The fourth proportional to 23,388, 32,275.44 and 13,452 is: 18,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,388 : 32,275.44 = 13,452 : x
  2. Step 2: Convert to fraction form
    23,388/32,275.44 = 13,452/x
  3. Step 3: Cross multiply
    23,388x = 32,275.44 × 13,452
  4. Step 4: Simplify right side
    23,388x = 434,169,218.88
  5. Step 5: Solve for x
    x = 434,169,218.88/23,388
  6. Step 6: Final answer
    x = 18,563.76

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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.