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Finding the Fourth Proportional to 14,938.21, 20,602.92 and 13,932.19

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Solution

The fourth proportional to 14,938.21, 20,602.92 and 13,932.19 is: 19,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,938.21 : 20,602.92 = 13,932.19 : x
  2. Step 2: Convert to fraction form
    14,938.21/20,602.92 = 13,932.19/x
  3. Step 3: Cross multiply
    14,938.21x = 20,602.92 × 13,932.19
  4. Step 4: Simplify right side
    14,938.21x = 287,043,795.99
  5. Step 5: Solve for x
    x = 287,043,795.99/14,938.21
  6. Step 6: Final answer
    x = 19,215.41

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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.