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Finding the Fourth Proportional to 21,358.22, 29,472.32 and 12,405.49

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Solution

The fourth proportional to 21,358.22, 29,472.32 and 12,405.49 is: 17,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,358.22 : 29,472.32 = 12,405.49 : x
  2. Step 2: Convert to fraction form
    21,358.22/29,472.32 = 12,405.49/x
  3. Step 3: Cross multiply
    21,358.22x = 29,472.32 × 12,405.49
  4. Step 4: Simplify right side
    21,358.22x = 365,618,528.37
  5. Step 5: Solve for x
    x = 365,618,528.37/21,358.22
  6. Step 6: Final answer
    x = 17,118.40

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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.