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Finding the Fourth Proportional to 23,063.67, 31,830.92 and 12,994.10

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Solution

The fourth proportional to 23,063.67, 31,830.92 and 12,994.10 is: 17,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,063.67 : 31,830.92 = 12,994.10 : x
  2. Step 2: Convert to fraction form
    23,063.67/31,830.92 = 12,994.10/x
  3. Step 3: Cross multiply
    23,063.67x = 31,830.92 × 12,994.10
  4. Step 4: Simplify right side
    23,063.67x = 413,614,172.18
  5. Step 5: Solve for x
    x = 413,614,172.18/23,063.67
  6. Step 6: Final answer
    x = 17,933.58

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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.