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Finding the Fourth Proportional to 12,165.40, 16,788.25 and 6,576.40

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Solution

The fourth proportional to 12,165.40, 16,788.25 and 6,576.40 is: 9,075.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.40 : 16,788.25 = 6,576.40 : x
  2. Step 2: Convert to fraction form
    12,165.40/16,788.25 = 6,576.40/x
  3. Step 3: Cross multiply
    12,165.40x = 16,788.25 × 6,576.40
  4. Step 4: Simplify right side
    12,165.40x = 110,406,214.42
  5. Step 5: Solve for x
    x = 110,406,214.42/12,165.40
  6. Step 6: Final answer
    x = 9,075.43

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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.