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Finding the Fourth Proportional to 28,135.14, 42,208.77 and 8,415.30

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Solution

The fourth proportional to 28,135.14, 42,208.77 and 8,415.30 is: 12,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,135.14 : 42,208.77 = 8,415.30 : x
  2. Step 2: Convert to fraction form
    28,135.14/42,208.77 = 8,415.30/x
  3. Step 3: Cross multiply
    28,135.14x = 42,208.77 × 8,415.30
  4. Step 4: Simplify right side
    28,135.14x = 355,199,462.18
  5. Step 5: Solve for x
    x = 355,199,462.18/28,135.14
  6. Step 6: Final answer
    x = 12,624.76

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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.