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Finding the Fourth Proportional to 16,045.50, 24,048.18 and 7,723.30

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Solution

The fourth proportional to 16,045.50, 24,048.18 and 7,723.30 is: 11,575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.50 : 24,048.18 = 7,723.30 : x
  2. Step 2: Convert to fraction form
    16,045.50/24,048.18 = 7,723.30/x
  3. Step 3: Cross multiply
    16,045.50x = 24,048.18 × 7,723.30
  4. Step 4: Simplify right side
    16,045.50x = 185,731,308.59
  5. Step 5: Solve for x
    x = 185,731,308.59/16,045.50
  6. Step 6: Final answer
    x = 11,575.29

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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.