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Finding the Fourth Proportional to 16,596.69, 24,900.50 and 7,830.46

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Solution

The fourth proportional to 16,596.69, 24,900.50 and 7,830.46 is: 11,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596.69 : 24,900.50 = 7,830.46 : x
  2. Step 2: Convert to fraction form
    16,596.69/24,900.50 = 7,830.46/x
  3. Step 3: Cross multiply
    16,596.69x = 24,900.50 × 7,830.46
  4. Step 4: Simplify right side
    16,596.69x = 194,982,369.23
  5. Step 5: Solve for x
    x = 194,982,369.23/16,596.69
  6. Step 6: Final answer
    x = 11,748.27

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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.