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Finding the Fourth Proportional to 16,447.98, 24,678.45 and 7,207.50

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Solution

The fourth proportional to 16,447.98, 24,678.45 and 7,207.50 is: 10,814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.98 : 24,678.45 = 7,207.50 : x
  2. Step 2: Convert to fraction form
    16,447.98/24,678.45 = 7,207.50/x
  3. Step 3: Cross multiply
    16,447.98x = 24,678.45 × 7,207.50
  4. Step 4: Simplify right side
    16,447.98x = 177,869,928.38
  5. Step 5: Solve for x
    x = 177,869,928.38/16,447.98
  6. Step 6: Final answer
    x = 10,814.09

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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.