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Finding the Fourth Proportional to 14,557.64, 20,089.44 and 8,270.02

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Solution

The fourth proportional to 14,557.64, 20,089.44 and 8,270.02 is: 11,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.64 : 20,089.44 = 8,270.02 : x
  2. Step 2: Convert to fraction form
    14,557.64/20,089.44 = 8,270.02/x
  3. Step 3: Cross multiply
    14,557.64x = 20,089.44 × 8,270.02
  4. Step 4: Simplify right side
    14,557.64x = 166,139,990.82
  5. Step 5: Solve for x
    x = 166,139,990.82/14,557.64
  6. Step 6: Final answer
    x = 11,412.56

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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.