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Finding the Fourth Proportional to 28,014.89, 42,022.80 and 10,475.15

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Solution

The fourth proportional to 28,014.89, 42,022.80 and 10,475.15 is: 15,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,014.89 : 42,022.80 = 10,475.15 : x
  2. Step 2: Convert to fraction form
    28,014.89/42,022.80 = 10,475.15/x
  3. Step 3: Cross multiply
    28,014.89x = 42,022.80 × 10,475.15
  4. Step 4: Simplify right side
    28,014.89x = 440,194,923.31
  5. Step 5: Solve for x
    x = 440,194,923.31/28,014.89
  6. Step 6: Final answer
    x = 15,712.89

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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.