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Finding the Fourth Proportional to 24,523.16, 33,842.61 and 13,345.16

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Solution

The fourth proportional to 24,523.16, 33,842.61 and 13,345.16 is: 18,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.16 : 33,842.61 = 13,345.16 : x
  2. Step 2: Convert to fraction form
    24,523.16/33,842.61 = 13,345.16/x
  3. Step 3: Cross multiply
    24,523.16x = 33,842.61 × 13,345.16
  4. Step 4: Simplify right side
    24,523.16x = 451,634,876.05
  5. Step 5: Solve for x
    x = 451,634,876.05/24,523.16
  6. Step 6: Final answer
    x = 18,416.67

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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.