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Finding the Fourth Proportional to 13,934.64, 19,229.04 and 7,646.52

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Solution

The fourth proportional to 13,934.64, 19,229.04 and 7,646.52 is: 10,551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,934.64 : 19,229.04 = 7,646.52 : x
  2. Step 2: Convert to fraction form
    13,934.64/19,229.04 = 7,646.52/x
  3. Step 3: Cross multiply
    13,934.64x = 19,229.04 × 7,646.52
  4. Step 4: Simplify right side
    13,934.64x = 147,035,238.94
  5. Step 5: Solve for x
    x = 147,035,238.94/13,934.64
  6. Step 6: Final answer
    x = 10,551.78

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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.