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Finding the Fourth Proportional to 21,838.70, 30,141.24 and 12,885.68

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Solution

The fourth proportional to 21,838.70, 30,141.24 and 12,885.68 is: 17,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.70 : 30,141.24 = 12,885.68 : x
  2. Step 2: Convert to fraction form
    21,838.70/30,141.24 = 12,885.68/x
  3. Step 3: Cross multiply
    21,838.70x = 30,141.24 × 12,885.68
  4. Step 4: Simplify right side
    21,838.70x = 388,390,373.44
  5. Step 5: Solve for x
    x = 388,390,373.44/21,838.70
  6. Step 6: Final answer
    x = 17,784.50

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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.