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Finding the Fourth Proportional to 25,832.80, 38,693.52 and 17,466.88

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Solution

The fourth proportional to 25,832.80, 38,693.52 and 17,466.88 is: 26,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.80 : 38,693.52 = 17,466.88 : x
  2. Step 2: Convert to fraction form
    25,832.80/38,693.52 = 17,466.88/x
  3. Step 3: Cross multiply
    25,832.80x = 38,693.52 × 17,466.88
  4. Step 4: Simplify right side
    25,832.80x = 675,855,070.62
  5. Step 5: Solve for x
    x = 675,855,070.62/25,832.80
  6. Step 6: Final answer
    x = 26,162.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.