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Finding the Fourth Proportional to 12,535.92, 17,283.22 and 10,786.32

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Solution

The fourth proportional to 12,535.92, 17,283.22 and 10,786.32 is: 14,871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.92 : 17,283.22 = 10,786.32 : x
  2. Step 2: Convert to fraction form
    12,535.92/17,283.22 = 10,786.32/x
  3. Step 3: Cross multiply
    12,535.92x = 17,283.22 × 10,786.32
  4. Step 4: Simplify right side
    12,535.92x = 186,422,341.55
  5. Step 5: Solve for x
    x = 186,422,341.55/12,535.92
  6. Step 6: Final answer
    x = 14,871.05

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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.