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Finding the Fourth Proportional to 12,583.81, 17,365.67 and 6,918.65

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Solution

The fourth proportional to 12,583.81, 17,365.67 and 6,918.65 is: 9,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.81 : 17,365.67 = 6,918.65 : x
  2. Step 2: Convert to fraction form
    12,583.81/17,365.67 = 6,918.65/x
  3. Step 3: Cross multiply
    12,583.81x = 17,365.67 × 6,918.65
  4. Step 4: Simplify right side
    12,583.81x = 120,147,001.57
  5. Step 5: Solve for x
    x = 120,147,001.57/12,583.81
  6. Step 6: Final answer
    x = 9,547.75

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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.