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Finding the Fourth Proportional to 21,862.30, 30,169.31 and 12,302.72

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Solution

The fourth proportional to 21,862.30, 30,169.31 and 12,302.72 is: 16,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862.30 : 30,169.31 = 12,302.72 : x
  2. Step 2: Convert to fraction form
    21,862.30/30,169.31 = 12,302.72/x
  3. Step 3: Cross multiply
    21,862.30x = 30,169.31 × 12,302.72
  4. Step 4: Simplify right side
    21,862.30x = 371,164,573.52
  5. Step 5: Solve for x
    x = 371,164,573.52/21,862.30
  6. Step 6: Final answer
    x = 16,977.38

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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.