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Finding the Fourth Proportional to 17,580.32, 24,204.65 and 14,234.21

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Solution

The fourth proportional to 17,580.32, 24,204.65 and 14,234.21 is: 19,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,580.32 : 24,204.65 = 14,234.21 : x
  2. Step 2: Convert to fraction form
    17,580.32/24,204.65 = 14,234.21/x
  3. Step 3: Cross multiply
    17,580.32x = 24,204.65 × 14,234.21
  4. Step 4: Simplify right side
    17,580.32x = 344,534,071.08
  5. Step 5: Solve for x
    x = 344,534,071.08/17,580.32
  6. Step 6: Final answer
    x = 19,597.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.