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Finding the Fourth Proportional to 21,675.90, 32,514.80 and 7,454.18

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Solution

The fourth proportional to 21,675.90, 32,514.80 and 7,454.18 is: 11,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675.90 : 32,514.80 = 7,454.18 : x
  2. Step 2: Convert to fraction form
    21,675.90/32,514.80 = 7,454.18/x
  3. Step 3: Cross multiply
    21,675.90x = 32,514.80 × 7,454.18
  4. Step 4: Simplify right side
    21,675.90x = 242,370,972.02
  5. Step 5: Solve for x
    x = 242,370,972.02/21,675.90
  6. Step 6: Final answer
    x = 11,181.59

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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.