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Finding the Fourth Proportional to 12,682.16, 17,493.95 and 7,643.18

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Solution

The fourth proportional to 12,682.16, 17,493.95 and 7,643.18 is: 10,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.16 : 17,493.95 = 7,643.18 : x
  2. Step 2: Convert to fraction form
    12,682.16/17,493.95 = 7,643.18/x
  3. Step 3: Cross multiply
    12,682.16x = 17,493.95 × 7,643.18
  4. Step 4: Simplify right side
    12,682.16x = 133,709,283.08
  5. Step 5: Solve for x
    x = 133,709,283.08/12,682.16
  6. Step 6: Final answer
    x = 10,543.10

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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.