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Finding the Fourth Proportional to 12,583.23, 17,364.85 and 6,918.34

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Solution

The fourth proportional to 12,583.23, 17,364.85 and 6,918.34 is: 9,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,583.23 : 17,364.85 = 6,918.34 : x
  2. Step 2: Convert to fraction form
    12,583.23/17,364.85 = 6,918.34/x
  3. Step 3: Cross multiply
    12,583.23x = 17,364.85 × 6,918.34
  4. Step 4: Simplify right side
    12,583.23x = 120,135,875.64
  5. Step 5: Solve for x
    x = 120,135,875.64/12,583.23
  6. Step 6: Final answer
    x = 9,547.30

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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.