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Finding the Fourth Proportional to 12,285.28, 16,953.68 and 6,980.10

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Solution

The fourth proportional to 12,285.28, 16,953.68 and 6,980.10 is: 9,632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.28 : 16,953.68 = 6,980.10 : x
  2. Step 2: Convert to fraction form
    12,285.28/16,953.68 = 6,980.10/x
  3. Step 3: Cross multiply
    12,285.28x = 16,953.68 × 6,980.10
  4. Step 4: Simplify right side
    12,285.28x = 118,338,399.22
  5. Step 5: Solve for x
    x = 118,338,399.22/12,285.28
  6. Step 6: Final answer
    x = 9,632.54

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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.