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Finding the Fourth Proportional to 12,285.72, 16,953.75 and 6,980.46

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Solution

The fourth proportional to 12,285.72, 16,953.75 and 6,980.46 is: 9,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.72 : 16,953.75 = 6,980.46 : x
  2. Step 2: Convert to fraction form
    12,285.72/16,953.75 = 6,980.46/x
  3. Step 3: Cross multiply
    12,285.72x = 16,953.75 × 6,980.46
  4. Step 4: Simplify right side
    12,285.72x = 118,344,973.73
  5. Step 5: Solve for x
    x = 118,344,973.73/12,285.72
  6. Step 6: Final answer
    x = 9,632.73

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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.