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Finding the Fourth Proportional to 13,679.80, 18,878.25 and 7,710.94

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Solution

The fourth proportional to 13,679.80, 18,878.25 and 7,710.94 is: 10,641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.80 : 18,878.25 = 7,710.94 : x
  2. Step 2: Convert to fraction form
    13,679.80/18,878.25 = 7,710.94/x
  3. Step 3: Cross multiply
    13,679.80x = 18,878.25 × 7,710.94
  4. Step 4: Simplify right side
    13,679.80x = 145,569,053.06
  5. Step 5: Solve for x
    x = 145,569,053.06/13,679.80
  6. Step 6: Final answer
    x = 10,641.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.