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Finding the Fourth Proportional to 21,524.27, 29,703.11 and 13,140.77

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Solution

The fourth proportional to 21,524.27, 29,703.11 and 13,140.77 is: 18,134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.27 : 29,703.11 = 13,140.77 : x
  2. Step 2: Convert to fraction form
    21,524.27/29,703.11 = 13,140.77/x
  3. Step 3: Cross multiply
    21,524.27x = 29,703.11 × 13,140.77
  4. Step 4: Simplify right side
    21,524.27x = 390,321,522.58
  5. Step 5: Solve for x
    x = 390,321,522.58/21,524.27
  6. Step 6: Final answer
    x = 18,134.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.