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Finding the Fourth Proportional to 24,124.68, 36,210.38 and 11,653.48

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Solution

The fourth proportional to 24,124.68, 36,210.38 and 11,653.48 is: 17,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,124.68 : 36,210.38 = 11,653.48 : x
  2. Step 2: Convert to fraction form
    24,124.68/36,210.38 = 11,653.48/x
  3. Step 3: Cross multiply
    24,124.68x = 36,210.38 × 11,653.48
  4. Step 4: Simplify right side
    24,124.68x = 421,976,939.12
  5. Step 5: Solve for x
    x = 421,976,939.12/24,124.68
  6. Step 6: Final answer
    x = 17,491.50

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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.