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Finding the Fourth Proportional to 21,829.50, 30,116.79 and 14,280.12

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Solution

The fourth proportional to 21,829.50, 30,116.79 and 14,280.12 is: 19,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.50 : 30,116.79 = 14,280.12 : x
  2. Step 2: Convert to fraction form
    21,829.50/30,116.79 = 14,280.12/x
  3. Step 3: Cross multiply
    21,829.50x = 30,116.79 × 14,280.12
  4. Step 4: Simplify right side
    21,829.50x = 430,071,375.21
  5. Step 5: Solve for x
    x = 430,071,375.21/21,829.50
  6. Step 6: Final answer
    x = 19,701.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.