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Finding the Fourth Proportional to 13,305.50, 18,330.72 and 9,319.40

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Solution

The fourth proportional to 13,305.50, 18,330.72 and 9,319.40 is: 12,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,305.50 : 18,330.72 = 9,319.40 : x
  2. Step 2: Convert to fraction form
    13,305.50/18,330.72 = 9,319.40/x
  3. Step 3: Cross multiply
    13,305.50x = 18,330.72 × 9,319.40
  4. Step 4: Simplify right side
    13,305.50x = 170,831,311.97
  5. Step 5: Solve for x
    x = 170,831,311.97/13,305.50
  6. Step 6: Final answer
    x = 12,839.15

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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.