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Finding the Fourth Proportional to 12,195.84, 16,765.65 and 10,488.09

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Solution

The fourth proportional to 12,195.84, 16,765.65 and 10,488.09 is: 14,418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.84 : 16,765.65 = 10,488.09 : x
  2. Step 2: Convert to fraction form
    12,195.84/16,765.65 = 10,488.09/x
  3. Step 3: Cross multiply
    12,195.84x = 16,765.65 × 10,488.09
  4. Step 4: Simplify right side
    12,195.84x = 175,839,646.11
  5. Step 5: Solve for x
    x = 175,839,646.11/12,195.84
  6. Step 6: Final answer
    x = 14,418.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.