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Finding the Fourth Proportional to 14,415.94, 21,623.94 and 5,649.70

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Solution

The fourth proportional to 14,415.94, 21,623.94 and 5,649.70 is: 8,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.94 : 21,623.94 = 5,649.70 : x
  2. Step 2: Convert to fraction form
    14,415.94/21,623.94 = 5,649.70/x
  3. Step 3: Cross multiply
    14,415.94x = 21,623.94 × 5,649.70
  4. Step 4: Simplify right side
    14,415.94x = 122,168,773.82
  5. Step 5: Solve for x
    x = 122,168,773.82/14,415.94
  6. Step 6: Final answer
    x = 8,474.56

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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.