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Finding the Fourth Proportional to 21,011.84, 31,478.40 and 18,848

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Solution

The fourth proportional to 21,011.84, 31,478.40 and 18,848 is: 28,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,011.84 : 31,478.40 = 18,848 : x
  2. Step 2: Convert to fraction form
    21,011.84/31,478.40 = 18,848/x
  3. Step 3: Cross multiply
    21,011.84x = 31,478.40 × 18,848
  4. Step 4: Simplify right side
    21,011.84x = 593,304,883.20
  5. Step 5: Solve for x
    x = 593,304,883.20/21,011.84
  6. Step 6: Final answer
    x = 28,236.69

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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.