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Finding the Fourth Proportional to 13,137.50, 18,129.76 and 9,783.20

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Solution

The fourth proportional to 13,137.50, 18,129.76 and 9,783.20 is: 13,500.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.50 : 18,129.76 = 9,783.20 : x
  2. Step 2: Convert to fraction form
    13,137.50/18,129.76 = 9,783.20/x
  3. Step 3: Cross multiply
    13,137.50x = 18,129.76 × 9,783.20
  4. Step 4: Simplify right side
    13,137.50x = 177,367,068.03
  5. Step 5: Solve for x
    x = 177,367,068.03/13,137.50
  6. Step 6: Final answer
    x = 13,500.82

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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.