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Finding the Fourth Proportional to 25,738.32, 38,598.44 and 7,721.18

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Solution

The fourth proportional to 25,738.32, 38,598.44 and 7,721.18 is: 11,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,738.32 : 38,598.44 = 7,721.18 : x
  2. Step 2: Convert to fraction form
    25,738.32/38,598.44 = 7,721.18/x
  3. Step 3: Cross multiply
    25,738.32x = 38,598.44 × 7,721.18
  4. Step 4: Simplify right side
    25,738.32x = 298,025,387.16
  5. Step 5: Solve for x
    x = 298,025,387.16/25,738.32
  6. Step 6: Final answer
    x = 11,579.05

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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.