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Finding the Fourth Proportional to 13,198.85, 19,792.96 and 4,762.95

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Solution

The fourth proportional to 13,198.85, 19,792.96 and 4,762.95 is: 7,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.85 : 19,792.96 = 4,762.95 : x
  2. Step 2: Convert to fraction form
    13,198.85/19,792.96 = 4,762.95/x
  3. Step 3: Cross multiply
    13,198.85x = 19,792.96 × 4,762.95
  4. Step 4: Simplify right side
    13,198.85x = 94,272,904.04
  5. Step 5: Solve for x
    x = 94,272,904.04/13,198.85
  6. Step 6: Final answer
    x = 7,142.51

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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.