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Finding the Fourth Proportional to 24,111, 36,166.50 and 10,967.13

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Solution

The fourth proportional to 24,111, 36,166.50 and 10,967.13 is: 16,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,111 : 36,166.50 = 10,967.13 : x
  2. Step 2: Convert to fraction form
    24,111/36,166.50 = 10,967.13/x
  3. Step 3: Cross multiply
    24,111x = 36,166.50 × 10,967.13
  4. Step 4: Simplify right side
    24,111x = 396,642,707.15
  5. Step 5: Solve for x
    x = 396,642,707.15/24,111
  6. Step 6: Final answer
    x = 16,450.70

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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.