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Finding the Fourth Proportional to 17,624.81, 24,322.05 and 9,667.10

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Solution

The fourth proportional to 17,624.81, 24,322.05 and 9,667.10 is: 13,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.81 : 24,322.05 = 9,667.10 : x
  2. Step 2: Convert to fraction form
    17,624.81/24,322.05 = 9,667.10/x
  3. Step 3: Cross multiply
    17,624.81x = 24,322.05 × 9,667.10
  4. Step 4: Simplify right side
    17,624.81x = 235,123,567.94
  5. Step 5: Solve for x
    x = 235,123,567.94/17,624.81
  6. Step 6: Final answer
    x = 13,340.49

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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.