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Finding the Fourth Proportional to 12,813.84, 17,675.69 and 7,705.80

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Solution

The fourth proportional to 12,813.84, 17,675.69 and 7,705.80 is: 10,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.84 : 17,675.69 = 7,705.80 : x
  2. Step 2: Convert to fraction form
    12,813.84/17,675.69 = 7,705.80/x
  3. Step 3: Cross multiply
    12,813.84x = 17,675.69 × 7,705.80
  4. Step 4: Simplify right side
    12,813.84x = 136,205,332.00
  5. Step 5: Solve for x
    x = 136,205,332.00/12,813.84
  6. Step 6: Final answer
    x = 10,629.55

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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.