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Finding the Fourth Proportional to 17,670.30, 24,406.65 and 13,213.88

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Solution

The fourth proportional to 17,670.30, 24,406.65 and 13,213.88 is: 18,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.30 : 24,406.65 = 13,213.88 : x
  2. Step 2: Convert to fraction form
    17,670.30/24,406.65 = 13,213.88/x
  3. Step 3: Cross multiply
    17,670.30x = 24,406.65 × 13,213.88
  4. Step 4: Simplify right side
    17,670.30x = 322,506,544.30
  5. Step 5: Solve for x
    x = 322,506,544.30/17,670.30
  6. Step 6: Final answer
    x = 18,251.33

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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.