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Finding the Fourth Proportional to 24,269.48, 36,400.17 and 6,741.08

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Solution

The fourth proportional to 24,269.48, 36,400.17 and 6,741.08 is: 10,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269.48 : 36,400.17 = 6,741.08 : x
  2. Step 2: Convert to fraction form
    24,269.48/36,400.17 = 6,741.08/x
  3. Step 3: Cross multiply
    24,269.48x = 36,400.17 × 6,741.08
  4. Step 4: Simplify right side
    24,269.48x = 245,376,457.98
  5. Step 5: Solve for x
    x = 245,376,457.98/24,269.48
  6. Step 6: Final answer
    x = 10,110.50

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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.