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Finding the Fourth Proportional to 21,129.74, 29,178.80 and 13,589.16

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Solution

The fourth proportional to 21,129.74, 29,178.80 and 13,589.16 is: 18,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129.74 : 29,178.80 = 13,589.16 : x
  2. Step 2: Convert to fraction form
    21,129.74/29,178.80 = 13,589.16/x
  3. Step 3: Cross multiply
    21,129.74x = 29,178.80 × 13,589.16
  4. Step 4: Simplify right side
    21,129.74x = 396,515,381.81
  5. Step 5: Solve for x
    x = 396,515,381.81/21,129.74
  6. Step 6: Final answer
    x = 18,765.75

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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.