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Finding the Fourth Proportional to 21,358.32, 29,478.20 and 12,405.12

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Solution

The fourth proportional to 21,358.32, 29,478.20 and 12,405.12 is: 17,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,358.32 : 29,478.20 = 12,405.12 : x
  2. Step 2: Convert to fraction form
    21,358.32/29,478.20 = 12,405.12/x
  3. Step 3: Cross multiply
    21,358.32x = 29,478.20 × 12,405.12
  4. Step 4: Simplify right side
    21,358.32x = 365,680,608.38
  5. Step 5: Solve for x
    x = 365,680,608.38/21,358.32
  6. Step 6: Final answer
    x = 17,121.23

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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.