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Finding the Fourth Proportional to 28,137.63, 42,207.86 and 8,416.35

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Solution

The fourth proportional to 28,137.63, 42,207.86 and 8,416.35 is: 12,624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,137.63 : 42,207.86 = 8,416.35 : x
  2. Step 2: Convert to fraction form
    28,137.63/42,207.86 = 8,416.35/x
  3. Step 3: Cross multiply
    28,137.63x = 42,207.86 × 8,416.35
  4. Step 4: Simplify right side
    28,137.63x = 355,236,185.95
  5. Step 5: Solve for x
    x = 355,236,185.95/28,137.63
  6. Step 6: Final answer
    x = 12,624.95

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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.