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Finding the Fourth Proportional to 23,185.31, 31,994.01 and 12,975.00

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Solution

The fourth proportional to 23,185.31, 31,994.01 and 12,975.00 is: 17,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,185.31 : 31,994.01 = 12,975.00 : x
  2. Step 2: Convert to fraction form
    23,185.31/31,994.01 = 12,975.00/x
  3. Step 3: Cross multiply
    23,185.31x = 31,994.01 × 12,975.00
  4. Step 4: Simplify right side
    23,185.31x = 415,122,339.74
  5. Step 5: Solve for x
    x = 415,122,339.74/23,185.31
  6. Step 6: Final answer
    x = 17,904.54

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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.