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Finding the Fourth Proportional to 17,553.76, 24,224.16 and 9,596

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Solution

The fourth proportional to 17,553.76, 24,224.16 and 9,596 is: 13,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,553.76 : 24,224.16 = 9,596 : x
  2. Step 2: Convert to fraction form
    17,553.76/24,224.16 = 9,596/x
  3. Step 3: Cross multiply
    17,553.76x = 24,224.16 × 9,596
  4. Step 4: Simplify right side
    17,553.76x = 232,455,039.36
  5. Step 5: Solve for x
    x = 232,455,039.36/17,553.76
  6. Step 6: Final answer
    x = 13,242.46

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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.