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Finding the Fourth Proportional to 24,618.88, 33,977.64 and 14,011.12

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Solution

The fourth proportional to 24,618.88, 33,977.64 and 14,011.12 is: 19,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,618.88 : 33,977.64 = 14,011.12 : x
  2. Step 2: Convert to fraction form
    24,618.88/33,977.64 = 14,011.12/x
  3. Step 3: Cross multiply
    24,618.88x = 33,977.64 × 14,011.12
  4. Step 4: Simplify right side
    24,618.88x = 476,064,791.36
  5. Step 5: Solve for x
    x = 476,064,791.36/24,618.88
  6. Step 6: Final answer
    x = 19,337.39

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Why These Related Problems?

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