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Finding the Fourth Proportional to 23,835.17, 32,894.03 and 13,765.45

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Solution

The fourth proportional to 23,835.17, 32,894.03 and 13,765.45 is: 18,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835.17 : 32,894.03 = 13,765.45 : x
  2. Step 2: Convert to fraction form
    23,835.17/32,894.03 = 13,765.45/x
  3. Step 3: Cross multiply
    23,835.17x = 32,894.03 × 13,765.45
  4. Step 4: Simplify right side
    23,835.17x = 452,801,125.26
  5. Step 5: Solve for x
    x = 452,801,125.26/23,835.17
  6. Step 6: Final answer
    x = 18,997.18

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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.