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Finding the Fourth Proportional to 18,271.84, 25,213.92 and 10,314.40

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Solution

The fourth proportional to 18,271.84, 25,213.92 and 10,314.40 is: 14,233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,271.84 : 25,213.92 = 10,314.40 : x
  2. Step 2: Convert to fraction form
    18,271.84/25,213.92 = 10,314.40/x
  3. Step 3: Cross multiply
    18,271.84x = 25,213.92 × 10,314.40
  4. Step 4: Simplify right side
    18,271.84x = 260,066,456.45
  5. Step 5: Solve for x
    x = 260,066,456.45/18,271.84
  6. Step 6: Final answer
    x = 14,233.18

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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.