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Finding the Fourth Proportional to 14,005.88, 21,008.82 and 3,617.63

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Solution

The fourth proportional to 14,005.88, 21,008.82 and 3,617.63 is: 5,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.88 : 21,008.82 = 3,617.63 : x
  2. Step 2: Convert to fraction form
    14,005.88/21,008.82 = 3,617.63/x
  3. Step 3: Cross multiply
    14,005.88x = 21,008.82 × 3,617.63
  4. Step 4: Simplify right side
    14,005.88x = 76,002,137.50
  5. Step 5: Solve for x
    x = 76,002,137.50/14,005.88
  6. Step 6: Final answer
    x = 5,426.45

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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.