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Finding the Fourth Proportional to 12,686.94, 17,506.35 and 7,382.52

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Solution

The fourth proportional to 12,686.94, 17,506.35 and 7,382.52 is: 10,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.94 : 17,506.35 = 7,382.52 : x
  2. Step 2: Convert to fraction form
    12,686.94/17,506.35 = 7,382.52/x
  3. Step 3: Cross multiply
    12,686.94x = 17,506.35 × 7,382.52
  4. Step 4: Simplify right side
    12,686.94x = 129,240,979.00
  5. Step 5: Solve for x
    x = 129,240,979.00/12,686.94
  6. Step 6: Final answer
    x = 10,186.93

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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.