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Finding the Fourth Proportional to 21,032.06, 31,553.78 and 6,994.35

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Solution

The fourth proportional to 21,032.06, 31,553.78 and 6,994.35 is: 10,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032.06 : 31,553.78 = 6,994.35 : x
  2. Step 2: Convert to fraction form
    21,032.06/31,553.78 = 6,994.35/x
  3. Step 3: Cross multiply
    21,032.06x = 31,553.78 × 6,994.35
  4. Step 4: Simplify right side
    21,032.06x = 220,698,146.17
  5. Step 5: Solve for x
    x = 220,698,146.17/21,032.06
  6. Step 6: Final answer
    x = 10,493.42

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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.