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Finding the Fourth Proportional to 14,564.12, 20,092.18 and 9,182.31

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Solution

The fourth proportional to 14,564.12, 20,092.18 and 9,182.31 is: 12,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.12 : 20,092.18 = 9,182.31 : x
  2. Step 2: Convert to fraction form
    14,564.12/20,092.18 = 9,182.31/x
  3. Step 3: Cross multiply
    14,564.12x = 20,092.18 × 9,182.31
  4. Step 4: Simplify right side
    14,564.12x = 184,492,625.34
  5. Step 5: Solve for x
    x = 184,492,625.34/14,564.12
  6. Step 6: Final answer
    x = 12,667.61

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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.