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Finding the Fourth Proportional to 12,641.82, 17,437.59 and 7,673.82

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Solution

The fourth proportional to 12,641.82, 17,437.59 and 7,673.82 is: 10,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.82 : 17,437.59 = 7,673.82 : x
  2. Step 2: Convert to fraction form
    12,641.82/17,437.59 = 7,673.82/x
  3. Step 3: Cross multiply
    12,641.82x = 17,437.59 × 7,673.82
  4. Step 4: Simplify right side
    12,641.82x = 133,812,926.89
  5. Step 5: Solve for x
    x = 133,812,926.89/12,641.82
  6. Step 6: Final answer
    x = 10,584.94

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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.