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Finding the Fourth Proportional to 14,665.46, 21,997.71 and 4,135.59

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Solution

The fourth proportional to 14,665.46, 21,997.71 and 4,135.59 is: 6,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.46 : 21,997.71 = 4,135.59 : x
  2. Step 2: Convert to fraction form
    14,665.46/21,997.71 = 4,135.59/x
  3. Step 3: Cross multiply
    14,665.46x = 21,997.71 × 4,135.59
  4. Step 4: Simplify right side
    14,665.46x = 90,973,509.50
  5. Step 5: Solve for x
    x = 90,973,509.50/14,665.46
  6. Step 6: Final answer
    x = 6,203.25

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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.