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Finding the Fourth Proportional to 17,626.12, 26,419.02 and 7,225

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Solution

The fourth proportional to 17,626.12, 26,419.02 and 7,225 is: 10,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,626.12 : 26,419.02 = 7,225 : x
  2. Step 2: Convert to fraction form
    17,626.12/26,419.02 = 7,225/x
  3. Step 3: Cross multiply
    17,626.12x = 26,419.02 × 7,225
  4. Step 4: Simplify right side
    17,626.12x = 190,877,419.50
  5. Step 5: Solve for x
    x = 190,877,419.50/17,626.12
  6. Step 6: Final answer
    x = 10,829.24

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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.