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Finding the Fourth Proportional to 12,426.68, 18,642.72 and 7,165.10

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Solution

The fourth proportional to 12,426.68, 18,642.72 and 7,165.10 is: 10,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.68 : 18,642.72 = 7,165.10 : x
  2. Step 2: Convert to fraction form
    12,426.68/18,642.72 = 7,165.10/x
  3. Step 3: Cross multiply
    12,426.68x = 18,642.72 × 7,165.10
  4. Step 4: Simplify right side
    12,426.68x = 133,576,953.07
  5. Step 5: Solve for x
    x = 133,576,953.07/12,426.68
  6. Step 6: Final answer
    x = 10,749.21

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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.