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Finding the Fourth Proportional to 17,310.17, 25,971.30 and 5,465.78

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Solution

The fourth proportional to 17,310.17, 25,971.30 and 5,465.78 is: 8,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,310.17 : 25,971.30 = 5,465.78 : x
  2. Step 2: Convert to fraction form
    17,310.17/25,971.30 = 5,465.78/x
  3. Step 3: Cross multiply
    17,310.17x = 25,971.30 × 5,465.78
  4. Step 4: Simplify right side
    17,310.17x = 141,953,412.11
  5. Step 5: Solve for x
    x = 141,953,412.11/17,310.17
  6. Step 6: Final answer
    x = 8,200.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.