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Finding the Fourth Proportional to 14,269.65, 21,408.12 and 5,502.21

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Solution

The fourth proportional to 14,269.65, 21,408.12 and 5,502.21 is: 8,254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.65 : 21,408.12 = 5,502.21 : x
  2. Step 2: Convert to fraction form
    14,269.65/21,408.12 = 5,502.21/x
  3. Step 3: Cross multiply
    14,269.65x = 21,408.12 × 5,502.21
  4. Step 4: Simplify right side
    14,269.65x = 117,791,971.95
  5. Step 5: Solve for x
    x = 117,791,971.95/14,269.65
  6. Step 6: Final answer
    x = 8,254.72

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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.