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Finding the Fourth Proportional to 28,574.21, 42,840.56 and 11,939

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Solution

The fourth proportional to 28,574.21, 42,840.56 and 11,939 is: 17,899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,574.21 : 42,840.56 = 11,939 : x
  2. Step 2: Convert to fraction form
    28,574.21/42,840.56 = 11,939/x
  3. Step 3: Cross multiply
    28,574.21x = 42,840.56 × 11,939
  4. Step 4: Simplify right side
    28,574.21x = 511,473,445.84
  5. Step 5: Solve for x
    x = 511,473,445.84/28,574.21
  6. Step 6: Final answer
    x = 17,899.83

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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.