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Finding the Fourth Proportional to 21,007.80, 31,511.70 and 16,342.20

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Solution

The fourth proportional to 21,007.80, 31,511.70 and 16,342.20 is: 24,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.80 : 31,511.70 = 16,342.20 : x
  2. Step 2: Convert to fraction form
    21,007.80/31,511.70 = 16,342.20/x
  3. Step 3: Cross multiply
    21,007.80x = 31,511.70 × 16,342.20
  4. Step 4: Simplify right side
    21,007.80x = 514,970,503.74
  5. Step 5: Solve for x
    x = 514,970,503.74/21,007.80
  6. Step 6: Final answer
    x = 24,513.30

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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.