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Finding the Fourth Proportional to 15,808.10, 23,704.34 and 5,274.50

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Solution

The fourth proportional to 15,808.10, 23,704.34 and 5,274.50 is: 7,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,808.10 : 23,704.34 = 5,274.50 : x
  2. Step 2: Convert to fraction form
    15,808.10/23,704.34 = 5,274.50/x
  3. Step 3: Cross multiply
    15,808.10x = 23,704.34 × 5,274.50
  4. Step 4: Simplify right side
    15,808.10x = 125,028,396.44
  5. Step 5: Solve for x
    x = 125,028,396.44/15,808.10
  6. Step 6: Final answer
    x = 7,909.14

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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.