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Finding the Fourth Proportional to 28,532.79, 42,814.10 and 11,678.31

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Solution

The fourth proportional to 28,532.79, 42,814.10 and 11,678.31 is: 17,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,532.79 : 42,814.10 = 11,678.31 : x
  2. Step 2: Convert to fraction form
    28,532.79/42,814.10 = 11,678.31/x
  3. Step 3: Cross multiply
    28,532.79x = 42,814.10 × 11,678.31
  4. Step 4: Simplify right side
    28,532.79x = 499,996,361.37
  5. Step 5: Solve for x
    x = 499,996,361.37/28,532.79
  6. Step 6: Final answer
    x = 17,523.57

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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.