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Finding the Fourth Proportional to 14,575.84, 20,114.94 and 8,288.44

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Solution

The fourth proportional to 14,575.84, 20,114.94 and 8,288.44 is: 11,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.84 : 20,114.94 = 8,288.44 : x
  2. Step 2: Convert to fraction form
    14,575.84/20,114.94 = 8,288.44/x
  3. Step 3: Cross multiply
    14,575.84x = 20,114.94 × 8,288.44
  4. Step 4: Simplify right side
    14,575.84x = 166,721,473.29
  5. Step 5: Solve for x
    x = 166,721,473.29/14,575.84
  6. Step 6: Final answer
    x = 11,438.21

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