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Finding the Fourth Proportional to 21,568.53, 29,765.93 and 13,071.39

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Solution

The fourth proportional to 21,568.53, 29,765.93 and 13,071.39 is: 18,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.53 : 29,765.93 = 13,071.39 : x
  2. Step 2: Convert to fraction form
    21,568.53/29,765.93 = 13,071.39/x
  3. Step 3: Cross multiply
    21,568.53x = 29,765.93 × 13,071.39
  4. Step 4: Simplify right side
    21,568.53x = 389,082,014.39
  5. Step 5: Solve for x
    x = 389,082,014.39/21,568.53
  6. Step 6: Final answer
    x = 18,039.34

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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.