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Finding the Fourth Proportional to 12,583.50, 17,365.24 and 6,918.61

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Solution

The fourth proportional to 12,583.50, 17,365.24 and 6,918.61 is: 9,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.50 : 17,365.24 = 6,918.61 : x
  2. Step 2: Convert to fraction form
    12,583.50/17,365.24 = 6,918.61/x
  3. Step 3: Cross multiply
    12,583.50x = 17,365.24 × 6,918.61
  4. Step 4: Simplify right side
    12,583.50x = 120,143,281.99
  5. Step 5: Solve for x
    x = 120,143,281.99/12,583.50
  6. Step 6: Final answer
    x = 9,547.69

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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.