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Finding the Fourth Proportional to 21,705.80, 29,953.10 and 12,274.52

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Solution

The fourth proportional to 21,705.80, 29,953.10 and 12,274.52 is: 16,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.80 : 29,953.10 = 12,274.52 : x
  2. Step 2: Convert to fraction form
    21,705.80/29,953.10 = 12,274.52/x
  3. Step 3: Cross multiply
    21,705.80x = 29,953.10 × 12,274.52
  4. Step 4: Simplify right side
    21,705.80x = 367,659,925.01
  5. Step 5: Solve for x
    x = 367,659,925.01/21,705.80
  6. Step 6: Final answer
    x = 16,938.33

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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.