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Finding the Fourth Proportional to 15,729.68, 23,596.95 and 5,339

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Solution

The fourth proportional to 15,729.68, 23,596.95 and 5,339 is: 8,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.68 : 23,596.95 = 5,339 : x
  2. Step 2: Convert to fraction form
    15,729.68/23,596.95 = 5,339/x
  3. Step 3: Cross multiply
    15,729.68x = 23,596.95 × 5,339
  4. Step 4: Simplify right side
    15,729.68x = 125,984,116.05
  5. Step 5: Solve for x
    x = 125,984,116.05/15,729.68
  6. Step 6: Final answer
    x = 8,009.32

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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.