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Finding the Fourth Proportional to 15,702.34, 23,451.31 and 14,069.38

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Solution

The fourth proportional to 15,702.34, 23,451.31 and 14,069.38 is: 21,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.34 : 23,451.31 = 14,069.38 : x
  2. Step 2: Convert to fraction form
    15,702.34/23,451.31 = 14,069.38/x
  3. Step 3: Cross multiply
    15,702.34x = 23,451.31 × 14,069.38
  4. Step 4: Simplify right side
    15,702.34x = 329,945,321.54
  5. Step 5: Solve for x
    x = 329,945,321.54/15,702.34
  6. Step 6: Final answer
    x = 21,012.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.