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Finding the Fourth Proportional to 17,310.02, 23,887.76 and 9,756.38

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Solution

The fourth proportional to 17,310.02, 23,887.76 and 9,756.38 is: 13,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,310.02 : 23,887.76 = 9,756.38 : x
  2. Step 2: Convert to fraction form
    17,310.02/23,887.76 = 9,756.38/x
  3. Step 3: Cross multiply
    17,310.02x = 23,887.76 × 9,756.38
  4. Step 4: Simplify right side
    17,310.02x = 233,058,063.91
  5. Step 5: Solve for x
    x = 233,058,063.91/17,310.02
  6. Step 6: Final answer
    x = 13,463.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.