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Finding the Fourth Proportional to 21,534.66, 29,717.70 and 12,103.23

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Solution

The fourth proportional to 21,534.66, 29,717.70 and 12,103.23 is: 16,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534.66 : 29,717.70 = 12,103.23 : x
  2. Step 2: Convert to fraction form
    21,534.66/29,717.70 = 12,103.23/x
  3. Step 3: Cross multiply
    21,534.66x = 29,717.70 × 12,103.23
  4. Step 4: Simplify right side
    21,534.66x = 359,680,158.17
  5. Step 5: Solve for x
    x = 359,680,158.17/21,534.66
  6. Step 6: Final answer
    x = 16,702.38

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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.