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Finding the Fourth Proportional to 20,705.81, 28,577.73 and 12,207.42

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Solution

The fourth proportional to 20,705.81, 28,577.73 and 12,207.42 is: 16,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.81 : 28,577.73 = 12,207.42 : x
  2. Step 2: Convert to fraction form
    20,705.81/28,577.73 = 12,207.42/x
  3. Step 3: Cross multiply
    20,705.81x = 28,577.73 × 12,207.42
  4. Step 4: Simplify right side
    20,705.81x = 348,860,352.76
  5. Step 5: Solve for x
    x = 348,860,352.76/20,705.81
  6. Step 6: Final answer
    x = 16,848.43

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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.