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Finding the Fourth Proportional to 14,467, 21,703.86 and 7,444.36

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Solution

The fourth proportional to 14,467, 21,703.86 and 7,444.36 is: 11,168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467 : 21,703.86 = 7,444.36 : x
  2. Step 2: Convert to fraction form
    14,467/21,703.86 = 7,444.36/x
  3. Step 3: Cross multiply
    14,467x = 21,703.86 × 7,444.36
  4. Step 4: Simplify right side
    14,467x = 161,571,347.23
  5. Step 5: Solve for x
    x = 161,571,347.23/14,467
  6. Step 6: Final answer
    x = 11,168.27

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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.