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Finding the Fourth Proportional to 21,096, 29,113.02 and 12,713.04

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Solution

The fourth proportional to 21,096, 29,113.02 and 12,713.04 is: 17,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096 : 29,113.02 = 12,713.04 : x
  2. Step 2: Convert to fraction form
    21,096/29,113.02 = 12,713.04/x
  3. Step 3: Cross multiply
    21,096x = 29,113.02 × 12,713.04
  4. Step 4: Simplify right side
    21,096x = 370,114,987.78
  5. Step 5: Solve for x
    x = 370,114,987.78/21,096
  6. Step 6: Final answer
    x = 17,544.32

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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.