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Finding the Fourth Proportional to 12,528.50, 17,285.27 and 8,542.70

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Solution

The fourth proportional to 12,528.50, 17,285.27 and 8,542.70 is: 11,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,528.50 : 17,285.27 = 8,542.70 : x
  2. Step 2: Convert to fraction form
    12,528.50/17,285.27 = 8,542.70/x
  3. Step 3: Cross multiply
    12,528.50x = 17,285.27 × 8,542.70
  4. Step 4: Simplify right side
    12,528.50x = 147,662,746.89
  5. Step 5: Solve for x
    x = 147,662,746.89/12,528.50
  6. Step 6: Final answer
    x = 11,786.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.