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Finding the Fourth Proportional to 21,985.57, 30,340.19 and 11,914.01

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Solution

The fourth proportional to 21,985.57, 30,340.19 and 11,914.01 is: 16,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,985.57 : 30,340.19 = 11,914.01 : x
  2. Step 2: Convert to fraction form
    21,985.57/30,340.19 = 11,914.01/x
  3. Step 3: Cross multiply
    21,985.57x = 30,340.19 × 11,914.01
  4. Step 4: Simplify right side
    21,985.57x = 361,473,327.06
  5. Step 5: Solve for x
    x = 361,473,327.06/21,985.57
  6. Step 6: Final answer
    x = 16,441.39

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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.