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Finding the Fourth Proportional to 12,285.25, 16,953.65 and 6,980.06

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Solution

The fourth proportional to 12,285.25, 16,953.65 and 6,980.06 is: 9,632.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.25 : 16,953.65 = 6,980.06 : x
  2. Step 2: Convert to fraction form
    12,285.25/16,953.65 = 6,980.06/x
  3. Step 3: Cross multiply
    12,285.25x = 16,953.65 × 6,980.06
  4. Step 4: Simplify right side
    12,285.25x = 118,337,471.78
  5. Step 5: Solve for x
    x = 118,337,471.78/12,285.25
  6. Step 6: Final answer
    x = 9,632.48

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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.