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Finding the Fourth Proportional to 24,767.98, 37,088.54 and 13,662.33

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Solution

The fourth proportional to 24,767.98, 37,088.54 and 13,662.33 is: 20,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,767.98 : 37,088.54 = 13,662.33 : x
  2. Step 2: Convert to fraction form
    24,767.98/37,088.54 = 13,662.33/x
  3. Step 3: Cross multiply
    24,767.98x = 37,088.54 × 13,662.33
  4. Step 4: Simplify right side
    24,767.98x = 506,715,716.54
  5. Step 5: Solve for x
    x = 506,715,716.54/24,767.98
  6. Step 6: Final answer
    x = 20,458.50

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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.