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Finding the Fourth Proportional to 13,284.57, 19,931.92 and 4,968.30

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Solution

The fourth proportional to 13,284.57, 19,931.92 and 4,968.30 is: 7,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.57 : 19,931.92 = 4,968.30 : x
  2. Step 2: Convert to fraction form
    13,284.57/19,931.92 = 4,968.30/x
  3. Step 3: Cross multiply
    13,284.57x = 19,931.92 × 4,968.30
  4. Step 4: Simplify right side
    13,284.57x = 99,027,745.72
  5. Step 5: Solve for x
    x = 99,027,745.72/13,284.57
  6. Step 6: Final answer
    x = 7,454.34

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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.