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Finding the Fourth Proportional to 17,301.60, 25,951.74 and 5,614.50

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Solution

The fourth proportional to 17,301.60, 25,951.74 and 5,614.50 is: 8,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,301.60 : 25,951.74 = 5,614.50 : x
  2. Step 2: Convert to fraction form
    17,301.60/25,951.74 = 5,614.50/x
  3. Step 3: Cross multiply
    17,301.60x = 25,951.74 × 5,614.50
  4. Step 4: Simplify right side
    17,301.60x = 145,706,044.23
  5. Step 5: Solve for x
    x = 145,706,044.23/17,301.60
  6. Step 6: Final answer
    x = 8,421.54

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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.