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Finding the Fourth Proportional to 24,384.33, 33,651 and 14,820.93

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Solution

The fourth proportional to 24,384.33, 33,651 and 14,820.93 is: 20,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.33 : 33,651 = 14,820.93 : x
  2. Step 2: Convert to fraction form
    24,384.33/33,651 = 14,820.93/x
  3. Step 3: Cross multiply
    24,384.33x = 33,651 × 14,820.93
  4. Step 4: Simplify right side
    24,384.33x = 498,739,115.43
  5. Step 5: Solve for x
    x = 498,739,115.43/24,384.33
  6. Step 6: Final answer
    x = 20,453.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.