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Finding the Fourth Proportional to 28,232.14, 42,353.70 and 8,509.72

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Solution

The fourth proportional to 28,232.14, 42,353.70 and 8,509.72 is: 12,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,232.14 : 42,353.70 = 8,509.72 : x
  2. Step 2: Convert to fraction form
    28,232.14/42,353.70 = 8,509.72/x
  3. Step 3: Cross multiply
    28,232.14x = 42,353.70 × 8,509.72
  4. Step 4: Simplify right side
    28,232.14x = 360,418,127.96
  5. Step 5: Solve for x
    x = 360,418,127.96/28,232.14
  6. Step 6: Final answer
    x = 12,766.23

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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.