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Finding the Fourth Proportional to 24,303.50, 36,457.50 and 11,153.96

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Solution

The fourth proportional to 24,303.50, 36,457.50 and 11,153.96 is: 16,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,303.50 : 36,457.50 = 11,153.96 : x
  2. Step 2: Convert to fraction form
    24,303.50/36,457.50 = 11,153.96/x
  3. Step 3: Cross multiply
    24,303.50x = 36,457.50 × 11,153.96
  4. Step 4: Simplify right side
    24,303.50x = 406,645,496.70
  5. Step 5: Solve for x
    x = 406,645,496.70/24,303.50
  6. Step 6: Final answer
    x = 16,731.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.