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Finding the Fourth Proportional to 24,100.10, 36,151.86 and 7,457.96

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Solution

The fourth proportional to 24,100.10, 36,151.86 and 7,457.96 is: 11,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,100.10 : 36,151.86 = 7,457.96 : x
  2. Step 2: Convert to fraction form
    24,100.10/36,151.86 = 7,457.96/x
  3. Step 3: Cross multiply
    24,100.10x = 36,151.86 × 7,457.96
  4. Step 4: Simplify right side
    24,100.10x = 269,619,125.81
  5. Step 5: Solve for x
    x = 269,619,125.81/24,100.10
  6. Step 6: Final answer
    x = 11,187.47

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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.