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Finding the Fourth Proportional to 23,537.52, 35,319.24 and 14,310

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Solution

The fourth proportional to 23,537.52, 35,319.24 and 14,310 is: 21,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537.52 : 35,319.24 = 14,310 : x
  2. Step 2: Convert to fraction form
    23,537.52/35,319.24 = 14,310/x
  3. Step 3: Cross multiply
    23,537.52x = 35,319.24 × 14,310
  4. Step 4: Simplify right side
    23,537.52x = 505,418,324.40
  5. Step 5: Solve for x
    x = 505,418,324.40/23,537.52
  6. Step 6: Final answer
    x = 21,472.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.