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Finding the Fourth Proportional to 13,022.64, 19,534.50 and 3,788.64

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Solution

The fourth proportional to 13,022.64, 19,534.50 and 3,788.64 is: 5,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.64 : 19,534.50 = 3,788.64 : x
  2. Step 2: Convert to fraction form
    13,022.64/19,534.50 = 3,788.64/x
  3. Step 3: Cross multiply
    13,022.64x = 19,534.50 × 3,788.64
  4. Step 4: Simplify right side
    13,022.64x = 74,009,188.08
  5. Step 5: Solve for x
    x = 74,009,188.08/13,022.64
  6. Step 6: Final answer
    x = 5,683.12

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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.