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Finding the Fourth Proportional to 13,102.50, 18,081.45 and 7,214.50

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Solution

The fourth proportional to 13,102.50, 18,081.45 and 7,214.50 is: 9,956.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.50 : 18,081.45 = 7,214.50 : x
  2. Step 2: Convert to fraction form
    13,102.50/18,081.45 = 7,214.50/x
  3. Step 3: Cross multiply
    13,102.50x = 18,081.45 × 7,214.50
  4. Step 4: Simplify right side
    13,102.50x = 130,448,621.03
  5. Step 5: Solve for x
    x = 130,448,621.03/13,102.50
  6. Step 6: Final answer
    x = 9,956.01

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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.