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Finding the Fourth Proportional to 16,405.35, 24,618.15 and 6,543.60

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Solution

The fourth proportional to 16,405.35, 24,618.15 and 6,543.60 is: 9,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.35 : 24,618.15 = 6,543.60 : x
  2. Step 2: Convert to fraction form
    16,405.35/24,618.15 = 6,543.60/x
  3. Step 3: Cross multiply
    16,405.35x = 24,618.15 × 6,543.60
  4. Step 4: Simplify right side
    16,405.35x = 161,091,326.34
  5. Step 5: Solve for x
    x = 161,091,326.34/16,405.35
  6. Step 6: Final answer
    x = 9,819.44

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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.