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Finding the Fourth Proportional to 14,709.22, 22,051.42 and 6,382.98

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Solution

The fourth proportional to 14,709.22, 22,051.42 and 6,382.98 is: 9,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.22 : 22,051.42 = 6,382.98 : x
  2. Step 2: Convert to fraction form
    14,709.22/22,051.42 = 6,382.98/x
  3. Step 3: Cross multiply
    14,709.22x = 22,051.42 × 6,382.98
  4. Step 4: Simplify right side
    14,709.22x = 140,753,772.83
  5. Step 5: Solve for x
    x = 140,753,772.83/14,709.22
  6. Step 6: Final answer
    x = 9,569.08

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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.