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Finding the Fourth Proportional to 14,296.68, 21,438 and 4,434.12

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Solution

The fourth proportional to 14,296.68, 21,438 and 4,434.12 is: 6,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.68 : 21,438 = 4,434.12 : x
  2. Step 2: Convert to fraction form
    14,296.68/21,438 = 4,434.12/x
  3. Step 3: Cross multiply
    14,296.68x = 21,438 × 4,434.12
  4. Step 4: Simplify right side
    14,296.68x = 95,058,664.56
  5. Step 5: Solve for x
    x = 95,058,664.56/14,296.68
  6. Step 6: Final answer
    x = 6,649.00

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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.