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Finding the Fourth Proportional to 16,454.48, 24,685.43 and 7,684.61

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Solution

The fourth proportional to 16,454.48, 24,685.43 and 7,684.61 is: 11,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.48 : 24,685.43 = 7,684.61 : x
  2. Step 2: Convert to fraction form
    16,454.48/24,685.43 = 7,684.61/x
  3. Step 3: Cross multiply
    16,454.48x = 24,685.43 × 7,684.61
  4. Step 4: Simplify right side
    16,454.48x = 189,697,740.38
  5. Step 5: Solve for x
    x = 189,697,740.38/16,454.48
  6. Step 6: Final answer
    x = 11,528.64

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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.