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Finding the Fourth Proportional to 23,370, 32,251.32 and 13,434

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Solution

The fourth proportional to 23,370, 32,251.32 and 13,434 is: 18,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,370 : 32,251.32 = 13,434 : x
  2. Step 2: Convert to fraction form
    23,370/32,251.32 = 13,434/x
  3. Step 3: Cross multiply
    23,370x = 32,251.32 × 13,434
  4. Step 4: Simplify right side
    23,370x = 433,264,232.88
  5. Step 5: Solve for x
    x = 433,264,232.88/23,370
  6. Step 6: Final answer
    x = 18,539.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.