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Finding the Fourth Proportional to 13,677.98, 18,876.77 and 7,710.88

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Solution

The fourth proportional to 13,677.98, 18,876.77 and 7,710.88 is: 10,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.98 : 18,876.77 = 7,710.88 : x
  2. Step 2: Convert to fraction form
    13,677.98/18,876.77 = 7,710.88/x
  3. Step 3: Cross multiply
    13,677.98x = 18,876.77 × 7,710.88
  4. Step 4: Simplify right side
    13,677.98x = 145,556,588.14
  5. Step 5: Solve for x
    x = 145,556,588.14/13,677.98
  6. Step 6: Final answer
    x = 10,641.68

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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.