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Finding the Fourth Proportional to 14,651.64, 21,980.16 and 4,791.47

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Solution

The fourth proportional to 14,651.64, 21,980.16 and 4,791.47 is: 7,188.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.64 : 21,980.16 = 4,791.47 : x
  2. Step 2: Convert to fraction form
    14,651.64/21,980.16 = 4,791.47/x
  3. Step 3: Cross multiply
    14,651.64x = 21,980.16 × 4,791.47
  4. Step 4: Simplify right side
    14,651.64x = 105,317,167.33
  5. Step 5: Solve for x
    x = 105,317,167.33/14,651.64
  6. Step 6: Final answer
    x = 7,188.08

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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.