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Finding the Fourth Proportional to 21,708, 29,957.04 and 12,276.36

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Solution

The fourth proportional to 21,708, 29,957.04 and 12,276.36 is: 16,941.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708 : 29,957.04 = 12,276.36 : x
  2. Step 2: Convert to fraction form
    21,708/29,957.04 = 12,276.36/x
  3. Step 3: Cross multiply
    21,708x = 29,957.04 × 12,276.36
  4. Step 4: Simplify right side
    21,708x = 367,763,407.57
  5. Step 5: Solve for x
    x = 367,763,407.57/21,708
  6. Step 6: Final answer
    x = 16,941.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.