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Finding the Fourth Proportional to 14,782.50, 20,403.32 and 9,747.63

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Solution

The fourth proportional to 14,782.50, 20,403.32 and 9,747.63 is: 13,454.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.50 : 20,403.32 = 9,747.63 : x
  2. Step 2: Convert to fraction form
    14,782.50/20,403.32 = 9,747.63/x
  3. Step 3: Cross multiply
    14,782.50x = 20,403.32 × 9,747.63
  4. Step 4: Simplify right side
    14,782.50x = 198,883,965.39
  5. Step 5: Solve for x
    x = 198,883,965.39/14,782.50
  6. Step 6: Final answer
    x = 13,454.01

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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.