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Finding the Fourth Proportional to 13,485.14, 20,214.64 and 5,158.75

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Solution

The fourth proportional to 13,485.14, 20,214.64 and 5,158.75 is: 7,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.14 : 20,214.64 = 5,158.75 : x
  2. Step 2: Convert to fraction form
    13,485.14/20,214.64 = 5,158.75/x
  3. Step 3: Cross multiply
    13,485.14x = 20,214.64 × 5,158.75
  4. Step 4: Simplify right side
    13,485.14x = 104,282,274.10
  5. Step 5: Solve for x
    x = 104,282,274.10/13,485.14
  6. Step 6: Final answer
    x = 7,733.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.