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Finding the Fourth Proportional to 21,543.62, 32,315.18 and 8,405.21

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Solution

The fourth proportional to 21,543.62, 32,315.18 and 8,405.21 is: 12,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543.62 : 32,315.18 = 8,405.21 : x
  2. Step 2: Convert to fraction form
    21,543.62/32,315.18 = 8,405.21/x
  3. Step 3: Cross multiply
    21,543.62x = 32,315.18 × 8,405.21
  4. Step 4: Simplify right side
    21,543.62x = 271,615,960.13
  5. Step 5: Solve for x
    x = 271,615,960.13/21,543.62
  6. Step 6: Final answer
    x = 12,607.72

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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.