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Finding the Fourth Proportional to 14,635, 21,829.19 and 12,267.57

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Solution

The fourth proportional to 14,635, 21,829.19 and 12,267.57 is: 18,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,635 : 21,829.19 = 12,267.57 : x
  2. Step 2: Convert to fraction form
    14,635/21,829.19 = 12,267.57/x
  3. Step 3: Cross multiply
    14,635x = 21,829.19 × 12,267.57
  4. Step 4: Simplify right side
    14,635x = 267,791,116.37
  5. Step 5: Solve for x
    x = 267,791,116.37/14,635
  6. Step 6: Final answer
    x = 18,297.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.