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Finding the Fourth Proportional to 17,624.48, 24,321.82 and 9,666.77

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Solution

The fourth proportional to 17,624.48, 24,321.82 and 9,666.77 is: 13,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.48 : 24,321.82 = 9,666.77 : x
  2. Step 2: Convert to fraction form
    17,624.48/24,321.82 = 9,666.77/x
  3. Step 3: Cross multiply
    17,624.48x = 24,321.82 × 9,666.77
  4. Step 4: Simplify right side
    17,624.48x = 235,113,439.92
  5. Step 5: Solve for x
    x = 235,113,439.92/17,624.48
  6. Step 6: Final answer
    x = 13,340.16

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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.