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Finding the Fourth Proportional to 17,000.16, 25,498.98 and 5,313

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Solution

The fourth proportional to 17,000.16, 25,498.98 and 5,313 is: 7,969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000.16 : 25,498.98 = 5,313 : x
  2. Step 2: Convert to fraction form
    17,000.16/25,498.98 = 5,313/x
  3. Step 3: Cross multiply
    17,000.16x = 25,498.98 × 5,313
  4. Step 4: Simplify right side
    17,000.16x = 135,476,080.74
  5. Step 5: Solve for x
    x = 135,476,080.74/17,000.16
  6. Step 6: Final answer
    x = 7,969.11

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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.