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Finding the Fourth Proportional to 28,138.65, 42,208.58 and 8,417.98

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Solution

The fourth proportional to 28,138.65, 42,208.58 and 8,417.98 is: 12,627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,138.65 : 42,208.58 = 8,417.98 : x
  2. Step 2: Convert to fraction form
    28,138.65/42,208.58 = 8,417.98/x
  3. Step 3: Cross multiply
    28,138.65x = 42,208.58 × 8,417.98
  4. Step 4: Simplify right side
    28,138.65x = 355,310,982.27
  5. Step 5: Solve for x
    x = 355,310,982.27/28,138.65
  6. Step 6: Final answer
    x = 12,627.15

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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.