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Finding the Fourth Proportional to 21,145.90, 31,706.55 and 7,999.30

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Solution

The fourth proportional to 21,145.90, 31,706.55 and 7,999.30 is: 11,994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,145.90 : 31,706.55 = 7,999.30 : x
  2. Step 2: Convert to fraction form
    21,145.90/31,706.55 = 7,999.30/x
  3. Step 3: Cross multiply
    21,145.90x = 31,706.55 × 7,999.30
  4. Step 4: Simplify right side
    21,145.90x = 253,630,205.42
  5. Step 5: Solve for x
    x = 253,630,205.42/21,145.90
  6. Step 6: Final answer
    x = 11,994.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.