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Finding the Fourth Proportional to 12,686.40, 17,506.80 and 7,380.36

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Solution

The fourth proportional to 12,686.40, 17,506.80 and 7,380.36 is: 10,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.40 : 17,506.80 = 7,380.36 : x
  2. Step 2: Convert to fraction form
    12,686.40/17,506.80 = 7,380.36/x
  3. Step 3: Cross multiply
    12,686.40x = 17,506.80 × 7,380.36
  4. Step 4: Simplify right side
    12,686.40x = 129,206,486.45
  5. Step 5: Solve for x
    x = 129,206,486.45/12,686.40
  6. Step 6: Final answer
    x = 10,184.65

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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.