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Finding the Fourth Proportional to 14,947.88, 20,623.74 and 9,645.80

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Solution

The fourth proportional to 14,947.88, 20,623.74 and 9,645.80 is: 13,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,947.88 : 20,623.74 = 9,645.80 : x
  2. Step 2: Convert to fraction form
    14,947.88/20,623.74 = 9,645.80/x
  3. Step 3: Cross multiply
    14,947.88x = 20,623.74 × 9,645.80
  4. Step 4: Simplify right side
    14,947.88x = 198,932,471.29
  5. Step 5: Solve for x
    x = 198,932,471.29/14,947.88
  6. Step 6: Final answer
    x = 13,308.41

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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.