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Finding the Fourth Proportional to 17,624.23, 24,322.55 and 11,645.42

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Solution

The fourth proportional to 17,624.23, 24,322.55 and 11,645.42 is: 16,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.23 : 24,322.55 = 11,645.42 : x
  2. Step 2: Convert to fraction form
    17,624.23/24,322.55 = 11,645.42/x
  3. Step 3: Cross multiply
    17,624.23x = 24,322.55 × 11,645.42
  4. Step 4: Simplify right side
    17,624.23x = 283,246,130.38
  5. Step 5: Solve for x
    x = 283,246,130.38/17,624.23
  6. Step 6: Final answer
    x = 16,071.41

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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.