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Finding the Fourth Proportional to 25,632.18, 38,421.99 and 9,832.95

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Solution

The fourth proportional to 25,632.18, 38,421.99 and 9,832.95 is: 14,739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,632.18 : 38,421.99 = 9,832.95 : x
  2. Step 2: Convert to fraction form
    25,632.18/38,421.99 = 9,832.95/x
  3. Step 3: Cross multiply
    25,632.18x = 38,421.99 × 9,832.95
  4. Step 4: Simplify right side
    25,632.18x = 377,801,506.57
  5. Step 5: Solve for x
    x = 377,801,506.57/25,632.18
  6. Step 6: Final answer
    x = 14,739.34

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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.