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Finding the Fourth Proportional to 15,729.98, 23,573.99 and 5,859.32

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Solution

The fourth proportional to 15,729.98, 23,573.99 and 5,859.32 is: 8,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.98 : 23,573.99 = 5,859.32 : x
  2. Step 2: Convert to fraction form
    15,729.98/23,573.99 = 5,859.32/x
  3. Step 3: Cross multiply
    15,729.98x = 23,573.99 × 5,859.32
  4. Step 4: Simplify right side
    15,729.98x = 138,127,447.87
  5. Step 5: Solve for x
    x = 138,127,447.87/15,729.98
  6. Step 6: Final answer
    x = 8,781.16

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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.