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Finding the Fourth Proportional to 14,089.74, 21,134.61 and 4,229.16

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Solution

The fourth proportional to 14,089.74, 21,134.61 and 4,229.16 is: 6,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.74 : 21,134.61 = 4,229.16 : x
  2. Step 2: Convert to fraction form
    14,089.74/21,134.61 = 4,229.16/x
  3. Step 3: Cross multiply
    14,089.74x = 21,134.61 × 4,229.16
  4. Step 4: Simplify right side
    14,089.74x = 89,381,647.23
  5. Step 5: Solve for x
    x = 89,381,647.23/14,089.74
  6. Step 6: Final answer
    x = 6,343.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.