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Finding the Fourth Proportional to 29,813.40, 44,647.20 and 14,212.80

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Solution

The fourth proportional to 29,813.40, 44,647.20 and 14,212.80 is: 21,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,813.40 : 44,647.20 = 14,212.80 : x
  2. Step 2: Convert to fraction form
    29,813.40/44,647.20 = 14,212.80/x
  3. Step 3: Cross multiply
    29,813.40x = 44,647.20 × 14,212.80
  4. Step 4: Simplify right side
    29,813.40x = 634,561,724.16
  5. Step 5: Solve for x
    x = 634,561,724.16/29,813.40
  6. Step 6: Final answer
    x = 21,284.45

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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.