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Finding the Fourth Proportional to 12,475.80, 17,205.12 and 9,296.96

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Solution

The fourth proportional to 12,475.80, 17,205.12 and 9,296.96 is: 12,821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475.80 : 17,205.12 = 9,296.96 : x
  2. Step 2: Convert to fraction form
    12,475.80/17,205.12 = 9,296.96/x
  3. Step 3: Cross multiply
    12,475.80x = 17,205.12 × 9,296.96
  4. Step 4: Simplify right side
    12,475.80x = 159,955,226.41
  5. Step 5: Solve for x
    x = 159,955,226.41/12,475.80
  6. Step 6: Final answer
    x = 12,821.24

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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.