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Finding the Fourth Proportional to 17,624.17, 24,322.04 and 9,666.73

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Solution

The fourth proportional to 17,624.17, 24,322.04 and 9,666.73 is: 13,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.17 : 24,322.04 = 9,666.73 : x
  2. Step 2: Convert to fraction form
    17,624.17/24,322.04 = 9,666.73/x
  3. Step 3: Cross multiply
    17,624.17x = 24,322.04 × 9,666.73
  4. Step 4: Simplify right side
    17,624.17x = 235,114,593.73
  5. Step 5: Solve for x
    x = 235,114,593.73/17,624.17
  6. Step 6: Final answer
    x = 13,340.46

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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.