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Finding the Fourth Proportional to 17,105.60, 25,636.80 and 9,308

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Solution

The fourth proportional to 17,105.60, 25,636.80 and 9,308 is: 13,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,105.60 : 25,636.80 = 9,308 : x
  2. Step 2: Convert to fraction form
    17,105.60/25,636.80 = 9,308/x
  3. Step 3: Cross multiply
    17,105.60x = 25,636.80 × 9,308
  4. Step 4: Simplify right side
    17,105.60x = 238,627,334.40
  5. Step 5: Solve for x
    x = 238,627,334.40/17,105.60
  6. Step 6: Final answer
    x = 13,950.25

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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.