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Finding the Fourth Proportional to 16,405.20, 24,598.80 and 8,066.88

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Solution

The fourth proportional to 16,405.20, 24,598.80 and 8,066.88 is: 12,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.20 : 24,598.80 = 8,066.88 : x
  2. Step 2: Convert to fraction form
    16,405.20/24,598.80 = 8,066.88/x
  3. Step 3: Cross multiply
    16,405.20x = 24,598.80 × 8,066.88
  4. Step 4: Simplify right side
    16,405.20x = 198,435,567.74
  5. Step 5: Solve for x
    x = 198,435,567.74/16,405.20
  6. Step 6: Final answer
    x = 12,095.89

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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.