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Finding the Fourth Proportional to 14,304.10, 21,434.22 and 6,503.80

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Solution

The fourth proportional to 14,304.10, 21,434.22 and 6,503.80 is: 9,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,304.10 : 21,434.22 = 6,503.80 : x
  2. Step 2: Convert to fraction form
    14,304.10/21,434.22 = 6,503.80/x
  3. Step 3: Cross multiply
    14,304.10x = 21,434.22 × 6,503.80
  4. Step 4: Simplify right side
    14,304.10x = 139,403,880.04
  5. Step 5: Solve for x
    x = 139,403,880.04/14,304.10
  6. Step 6: Final answer
    x = 9,745.73

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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.