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Finding the Fourth Proportional to 14,402.48, 19,878 and 8,433.80

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Solution

The fourth proportional to 14,402.48, 19,878 and 8,433.80 is: 11,640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.48 : 19,878 = 8,433.80 : x
  2. Step 2: Convert to fraction form
    14,402.48/19,878 = 8,433.80/x
  3. Step 3: Cross multiply
    14,402.48x = 19,878 × 8,433.80
  4. Step 4: Simplify right side
    14,402.48x = 167,647,076.40
  5. Step 5: Solve for x
    x = 167,647,076.40/14,402.48
  6. Step 6: Final answer
    x = 11,640.15

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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.