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Finding the Fourth Proportional to 12,684.82, 17,521.79 and 9,737.08

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Solution

The fourth proportional to 12,684.82, 17,521.79 and 9,737.08 is: 13,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.82 : 17,521.79 = 9,737.08 : x
  2. Step 2: Convert to fraction form
    12,684.82/17,521.79 = 9,737.08/x
  3. Step 3: Cross multiply
    12,684.82x = 17,521.79 × 9,737.08
  4. Step 4: Simplify right side
    12,684.82x = 170,611,070.97
  5. Step 5: Solve for x
    x = 170,611,070.97/12,684.82
  6. Step 6: Final answer
    x = 13,450.02

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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.