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Finding the Fourth Proportional to 14,228.24, 19,633.16 and 7,940.88

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Solution

The fourth proportional to 14,228.24, 19,633.16 and 7,940.88 is: 10,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.24 : 19,633.16 = 7,940.88 : x
  2. Step 2: Convert to fraction form
    14,228.24/19,633.16 = 7,940.88/x
  3. Step 3: Cross multiply
    14,228.24x = 19,633.16 × 7,940.88
  4. Step 4: Simplify right side
    14,228.24x = 155,904,567.58
  5. Step 5: Solve for x
    x = 155,904,567.58/14,228.24
  6. Step 6: Final answer
    x = 10,957.40

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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.