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Finding the Fourth Proportional to 21,707.04, 29,957 and 12,276.48

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Solution

The fourth proportional to 21,707.04, 29,957 and 12,276.48 is: 16,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.04 : 29,957 = 12,276.48 : x
  2. Step 2: Convert to fraction form
    21,707.04/29,957 = 12,276.48/x
  3. Step 3: Cross multiply
    21,707.04x = 29,957 × 12,276.48
  4. Step 4: Simplify right side
    21,707.04x = 367,766,511.36
  5. Step 5: Solve for x
    x = 367,766,511.36/21,707.04
  6. Step 6: Final answer
    x = 16,942.27

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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.