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Finding the Fourth Proportional to 12,789.10, 17,657.07 and 8,762.74

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Solution

The fourth proportional to 12,789.10, 17,657.07 and 8,762.74 is: 12,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789.10 : 17,657.07 = 8,762.74 : x
  2. Step 2: Convert to fraction form
    12,789.10/17,657.07 = 8,762.74/x
  3. Step 3: Cross multiply
    12,789.10x = 17,657.07 × 8,762.74
  4. Step 4: Simplify right side
    12,789.10x = 154,724,313.57
  5. Step 5: Solve for x
    x = 154,724,313.57/12,789.10
  6. Step 6: Final answer
    x = 12,098.14

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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.