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Finding the Fourth Proportional to 14,276.63, 19,701.81 and 7,989

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Solution

The fourth proportional to 14,276.63, 19,701.81 and 7,989 is: 11,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,276.63 : 19,701.81 = 7,989 : x
  2. Step 2: Convert to fraction form
    14,276.63/19,701.81 = 7,989/x
  3. Step 3: Cross multiply
    14,276.63x = 19,701.81 × 7,989
  4. Step 4: Simplify right side
    14,276.63x = 157,397,760.09
  5. Step 5: Solve for x
    x = 157,397,760.09/14,276.63
  6. Step 6: Final answer
    x = 11,024.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.