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Finding the Fourth Proportional to 14,429.98, 19,913.34 and 8,142.32

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Solution

The fourth proportional to 14,429.98, 19,913.34 and 8,142.32 is: 11,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,429.98 : 19,913.34 = 8,142.32 : x
  2. Step 2: Convert to fraction form
    14,429.98/19,913.34 = 8,142.32/x
  3. Step 3: Cross multiply
    14,429.98x = 19,913.34 × 8,142.32
  4. Step 4: Simplify right side
    14,429.98x = 162,140,786.55
  5. Step 5: Solve for x
    x = 162,140,786.55/14,429.98
  6. Step 6: Final answer
    x = 11,236.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.