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Finding the Fourth Proportional to 14,709.49, 22,051.84 and 6,383.24

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Solution

The fourth proportional to 14,709.49, 22,051.84 and 6,383.24 is: 9,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.49 : 22,051.84 = 6,383.24 : x
  2. Step 2: Convert to fraction form
    14,709.49/22,051.84 = 6,383.24/x
  3. Step 3: Cross multiply
    14,709.49x = 22,051.84 × 6,383.24
  4. Step 4: Simplify right side
    14,709.49x = 140,762,164.58
  5. Step 5: Solve for x
    x = 140,762,164.58/14,709.49
  6. Step 6: Final answer
    x = 9,569.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.