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Finding the Fourth Proportional to 14,240.25, 19,651.34 and 8,275.28

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Solution

The fourth proportional to 14,240.25, 19,651.34 and 8,275.28 is: 11,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240.25 : 19,651.34 = 8,275.28 : x
  2. Step 2: Convert to fraction form
    14,240.25/19,651.34 = 8,275.28/x
  3. Step 3: Cross multiply
    14,240.25x = 19,651.34 × 8,275.28
  4. Step 4: Simplify right side
    14,240.25x = 162,620,263.31
  5. Step 5: Solve for x
    x = 162,620,263.31/14,240.25
  6. Step 6: Final answer
    x = 11,419.76

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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.