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Finding the Fourth Proportional to 23,185.86, 31,996.44 and 12,575.46

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Solution

The fourth proportional to 23,185.86, 31,996.44 and 12,575.46 is: 17,354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,185.86 : 31,996.44 = 12,575.46 : x
  2. Step 2: Convert to fraction form
    23,185.86/31,996.44 = 12,575.46/x
  3. Step 3: Cross multiply
    23,185.86x = 31,996.44 × 12,575.46
  4. Step 4: Simplify right side
    23,185.86x = 402,369,951.36
  5. Step 5: Solve for x
    x = 402,369,951.36/23,185.86
  6. Step 6: Final answer
    x = 17,354.11

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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.