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Finding the Fourth Proportional to 16,145.94, 24,222.42 and 6,780.62

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Solution

The fourth proportional to 16,145.94, 24,222.42 and 6,780.62 is: 10,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.94 : 24,222.42 = 6,780.62 : x
  2. Step 2: Convert to fraction form
    16,145.94/24,222.42 = 6,780.62/x
  3. Step 3: Cross multiply
    16,145.94x = 24,222.42 × 6,780.62
  4. Step 4: Simplify right side
    16,145.94x = 164,242,904.39
  5. Step 5: Solve for x
    x = 164,242,904.39/16,145.94
  6. Step 6: Final answer
    x = 10,172.40

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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.