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Finding the Fourth Proportional to 11,677.09, 17,493.05 and 9,780.46

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Solution

The fourth proportional to 11,677.09, 17,493.05 and 9,780.46 is: 14,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.09 : 17,493.05 = 9,780.46 : x
  2. Step 2: Convert to fraction form
    11,677.09/17,493.05 = 9,780.46/x
  3. Step 3: Cross multiply
    11,677.09x = 17,493.05 × 9,780.46
  4. Step 4: Simplify right side
    11,677.09x = 171,090,075.80
  5. Step 5: Solve for x
    x = 171,090,075.80/11,677.09
  6. Step 6: Final answer
    x = 14,651.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.