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Finding the Fourth Proportional to 14,984.42, 20,678.24 and 8,270.03

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Solution

The fourth proportional to 14,984.42, 20,678.24 and 8,270.03 is: 11,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,984.42 : 20,678.24 = 8,270.03 : x
  2. Step 2: Convert to fraction form
    14,984.42/20,678.24 = 8,270.03/x
  3. Step 3: Cross multiply
    14,984.42x = 20,678.24 × 8,270.03
  4. Step 4: Simplify right side
    14,984.42x = 171,009,737.52
  5. Step 5: Solve for x
    x = 171,009,737.52/14,984.42
  6. Step 6: Final answer
    x = 11,412.51

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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.