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Finding the Fourth Proportional to 12,870.95, 17,760.61 and 7,205.33

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Solution

The fourth proportional to 12,870.95, 17,760.61 and 7,205.33 is: 9,942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.95 : 17,760.61 = 7,205.33 : x
  2. Step 2: Convert to fraction form
    12,870.95/17,760.61 = 7,205.33/x
  3. Step 3: Cross multiply
    12,870.95x = 17,760.61 × 7,205.33
  4. Step 4: Simplify right side
    12,870.95x = 127,971,056.05
  5. Step 5: Solve for x
    x = 127,971,056.05/12,870.95
  6. Step 6: Final answer
    x = 9,942.63

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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.