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Finding the Fourth Proportional to 28,138.88, 42,210.32 and 8,415.84

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Solution

The fourth proportional to 28,138.88, 42,210.32 and 8,415.84 is: 12,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,138.88 : 42,210.32 = 8,415.84 : x
  2. Step 2: Convert to fraction form
    28,138.88/42,210.32 = 8,415.84/x
  3. Step 3: Cross multiply
    28,138.88x = 42,210.32 × 8,415.84
  4. Step 4: Simplify right side
    28,138.88x = 355,235,299.47
  5. Step 5: Solve for x
    x = 355,235,299.47/28,138.88
  6. Step 6: Final answer
    x = 12,624.36

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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.