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Finding the Fourth Proportional to 15,924.84, 23,892.08 and 6,432.28

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Solution

The fourth proportional to 15,924.84, 23,892.08 and 6,432.28 is: 9,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924.84 : 23,892.08 = 6,432.28 : x
  2. Step 2: Convert to fraction form
    15,924.84/23,892.08 = 6,432.28/x
  3. Step 3: Cross multiply
    15,924.84x = 23,892.08 × 6,432.28
  4. Step 4: Simplify right side
    15,924.84x = 153,680,548.34
  5. Step 5: Solve for x
    x = 153,680,548.34/15,924.84
  6. Step 6: Final answer
    x = 9,650.37

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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.