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Finding the Fourth Proportional to 12,694.68, 17,520.30 and 7,106.76

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Solution

The fourth proportional to 12,694.68, 17,520.30 and 7,106.76 is: 9,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.68 : 17,520.30 = 7,106.76 : x
  2. Step 2: Convert to fraction form
    12,694.68/17,520.30 = 7,106.76/x
  3. Step 3: Cross multiply
    12,694.68x = 17,520.30 × 7,106.76
  4. Step 4: Simplify right side
    12,694.68x = 124,512,567.23
  5. Step 5: Solve for x
    x = 124,512,567.23/12,694.68
  6. Step 6: Final answer
    x = 9,808.25

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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.