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Finding the Fourth Proportional to 21,805.85, 32,705.70 and 7,012.89

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Solution

The fourth proportional to 21,805.85, 32,705.70 and 7,012.89 is: 10,518.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805.85 : 32,705.70 = 7,012.89 : x
  2. Step 2: Convert to fraction form
    21,805.85/32,705.70 = 7,012.89/x
  3. Step 3: Cross multiply
    21,805.85x = 32,705.70 × 7,012.89
  4. Step 4: Simplify right side
    21,805.85x = 229,361,476.47
  5. Step 5: Solve for x
    x = 229,361,476.47/21,805.85
  6. Step 6: Final answer
    x = 10,518.35

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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.