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Finding the Fourth Proportional to 12,718.49, 17,547.44 and 7,684.20

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Solution

The fourth proportional to 12,718.49, 17,547.44 and 7,684.20 is: 10,601.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718.49 : 17,547.44 = 7,684.20 : x
  2. Step 2: Convert to fraction form
    12,718.49/17,547.44 = 7,684.20/x
  3. Step 3: Cross multiply
    12,718.49x = 17,547.44 × 7,684.20
  4. Step 4: Simplify right side
    12,718.49x = 134,838,000.03
  5. Step 5: Solve for x
    x = 134,838,000.03/12,718.49
  6. Step 6: Final answer
    x = 10,601.73

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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.