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Finding the Fourth Proportional to 12,361.56, 18,547.07 and 7,434.69

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Solution

The fourth proportional to 12,361.56, 18,547.07 and 7,434.69 is: 11,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.56 : 18,547.07 = 7,434.69 : x
  2. Step 2: Convert to fraction form
    12,361.56/18,547.07 = 7,434.69/x
  3. Step 3: Cross multiply
    12,361.56x = 18,547.07 × 7,434.69
  4. Step 4: Simplify right side
    12,361.56x = 137,891,678.68
  5. Step 5: Solve for x
    x = 137,891,678.68/12,361.56
  6. Step 6: Final answer
    x = 11,154.88

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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.