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Finding the Fourth Proportional to 15,892.88, 23,842.14 and 6,538.04

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Solution

The fourth proportional to 15,892.88, 23,842.14 and 6,538.04 is: 9,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.88 : 23,842.14 = 6,538.04 : x
  2. Step 2: Convert to fraction form
    15,892.88/23,842.14 = 6,538.04/x
  3. Step 3: Cross multiply
    15,892.88x = 23,842.14 × 6,538.04
  4. Step 4: Simplify right side
    15,892.88x = 155,880,865.01
  5. Step 5: Solve for x
    x = 155,880,865.01/15,892.88
  6. Step 6: Final answer
    x = 9,808.22

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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.