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Finding the Fourth Proportional to 14,323.92, 21,493.56 and 6,114

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Solution

The fourth proportional to 14,323.92, 21,493.56 and 6,114 is: 9,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.92 : 21,493.56 = 6,114 : x
  2. Step 2: Convert to fraction form
    14,323.92/21,493.56 = 6,114/x
  3. Step 3: Cross multiply
    14,323.92x = 21,493.56 × 6,114
  4. Step 4: Simplify right side
    14,323.92x = 131,411,625.84
  5. Step 5: Solve for x
    x = 131,411,625.84/14,323.92
  6. Step 6: Final answer
    x = 9,174.28

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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.