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Finding the Fourth Proportional to 25,739.76, 38,605.04 and 7,724.32

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Solution

The fourth proportional to 25,739.76, 38,605.04 and 7,724.32 is: 11,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,739.76 : 38,605.04 = 7,724.32 : x
  2. Step 2: Convert to fraction form
    25,739.76/38,605.04 = 7,724.32/x
  3. Step 3: Cross multiply
    25,739.76x = 38,605.04 × 7,724.32
  4. Step 4: Simplify right side
    25,739.76x = 298,197,682.57
  5. Step 5: Solve for x
    x = 298,197,682.57/25,739.76
  6. Step 6: Final answer
    x = 11,585.10

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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.