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Finding the Fourth Proportional to 21,051.49, 31,423.10 and 18,560.42

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Solution

The fourth proportional to 21,051.49, 31,423.10 and 18,560.42 is: 27,704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,051.49 : 31,423.10 = 18,560.42 : x
  2. Step 2: Convert to fraction form
    21,051.49/31,423.10 = 18,560.42/x
  3. Step 3: Cross multiply
    21,051.49x = 31,423.10 × 18,560.42
  4. Step 4: Simplify right side
    21,051.49x = 583,225,954.26
  5. Step 5: Solve for x
    x = 583,225,954.26/21,051.49
  6. Step 6: Final answer
    x = 27,704.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.