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Finding the Fourth Proportional to 21,577.90, 32,370.93 and 8,429.44

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Solution

The fourth proportional to 21,577.90, 32,370.93 and 8,429.44 is: 12,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577.90 : 32,370.93 = 8,429.44 : x
  2. Step 2: Convert to fraction form
    21,577.90/32,370.93 = 8,429.44/x
  3. Step 3: Cross multiply
    21,577.90x = 32,370.93 × 8,429.44
  4. Step 4: Simplify right side
    21,577.90x = 272,868,731.25
  5. Step 5: Solve for x
    x = 272,868,731.25/21,577.90
  6. Step 6: Final answer
    x = 12,645.75

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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.