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Finding the Fourth Proportional to 23,814.56, 35,695.92 and 16,004

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Solution

The fourth proportional to 23,814.56, 35,695.92 and 16,004 is: 23,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814.56 : 35,695.92 = 16,004 : x
  2. Step 2: Convert to fraction form
    23,814.56/35,695.92 = 16,004/x
  3. Step 3: Cross multiply
    23,814.56x = 35,695.92 × 16,004
  4. Step 4: Simplify right side
    23,814.56x = 571,277,503.68
  5. Step 5: Solve for x
    x = 571,277,503.68/23,814.56
  6. Step 6: Final answer
    x = 23,988.58

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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.