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Finding the Fourth Proportional to 12,584.08, 17,364.98 and 6,918.67

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Solution

The fourth proportional to 12,584.08, 17,364.98 and 6,918.67 is: 9,547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.08 : 17,364.98 = 6,918.67 : x
  2. Step 2: Convert to fraction form
    12,584.08/17,364.98 = 6,918.67/x
  3. Step 3: Cross multiply
    12,584.08x = 17,364.98 × 6,918.67
  4. Step 4: Simplify right side
    12,584.08x = 120,142,566.18
  5. Step 5: Solve for x
    x = 120,142,566.18/12,584.08
  6. Step 6: Final answer
    x = 9,547.19

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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.