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Finding the Fourth Proportional to 14,575.82, 20,114.51 and 8,288.20

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Solution

The fourth proportional to 14,575.82, 20,114.51 and 8,288.20 is: 11,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.82 : 20,114.51 = 8,288.20 : x
  2. Step 2: Convert to fraction form
    14,575.82/20,114.51 = 8,288.20/x
  3. Step 3: Cross multiply
    14,575.82x = 20,114.51 × 8,288.20
  4. Step 4: Simplify right side
    14,575.82x = 166,712,990.05
  5. Step 5: Solve for x
    x = 166,712,990.05/14,575.82
  6. Step 6: Final answer
    x = 11,437.64

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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.