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Finding the Fourth Proportional to 21,454.44, 32,188.38 and 9,618.14

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Solution

The fourth proportional to 21,454.44, 32,188.38 and 9,618.14 is: 14,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.44 : 32,188.38 = 9,618.14 : x
  2. Step 2: Convert to fraction form
    21,454.44/32,188.38 = 9,618.14/x
  3. Step 3: Cross multiply
    21,454.44x = 32,188.38 × 9,618.14
  4. Step 4: Simplify right side
    21,454.44x = 309,592,184.27
  5. Step 5: Solve for x
    x = 309,592,184.27/21,454.44
  6. Step 6: Final answer
    x = 14,430.22

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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.